1. Issai Schur Issai schur issai Schur was the next mathematician to contributesignificantly to representation and character theory. He was a http://axe.acadiau.ca/~030199d/histmath/schr.html

2. Schur Issai Schur. Born 10 Jan 1875 in Mogilyov, Mogilyov province, BelarusDied 10 Jan 1941 in Tel Aviv, Palestine. Click the picture http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Schur.html

Issai Schur Born: 10 Jan 1875 in Mogilyov, Mogilyov province, Belarus Died: 10 Jan 1941 in Tel Aviv, Palestine Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Although Issai Schur was born in Mogilyov on the Dnieper, he spoke German without a trace of an accent, and nobody even guessed that it was not his first language. He went to Latvia at the age of 13 and there he attended the Gymnasium in Libau, now called Liepaja. In 1894 Schur entered the University of Berlin to read mathematics and physics. Frobenius was one of his teachers and he was to greatly influence Schur and later to direct his doctoral studies. Frobenius and Burnside had been the two main founders of the theory of representations of groups as groups of matrices . This theory proved a very powerful tool in the study of groups and Schur was to learn the foundations of this subject from Frobenius . Schur then made major steps forward, both in work of his own and work done in collaboration with Frobenius In 1901 Schur obtained his doctorate with a thesis which examined rational representations of the general linear group over the complex field. Functions which Schur introduced in his thesis are today called S-functions, where the S stands for Schur. Interest in the results of Schur's thesis continues today, for example J A Green published an account of these results in a modern setting in 1980.

3. ISSAI@Schur ISSAI Schur. Journal fur die reine und angewzndte Mathematik 147,205232(1917). Bounded power series in the disc.?. http://133.78.201.100/~arimoto/schur/ISSAISchur.htm

ISSAI@ Schur Journal fur die reine und angewzndte Mathematik Bounded power series in the disc.’PˆÊ‰~“à‚Ì—LŠE‚ׂ«‹‰” Section 1.˜A•ª”ƒAƒ‹ƒSƒŠƒYƒ€‚Ì“±“ü ‚ð’PˆÊ‰~“à‚Ő³‘¥‚Ȋ֐”‚ŁA ‚Ì’l‚̏ãŒÀ‚ðAŠÈ’P‚É ‚̏ãŒÀ‚Æ‚¢‚¢A ‚Å‚ ‚ç‚í‚·B ‚Ì‚Æ‚«A ‚̏ãŠE‚Æ‚¢‚¤B‚Ü‚½A ‚ð‹–‚·B ‚ª—LŒÀ’l‚Å‚ ‚éê‡‚ɂ́A ‚Í’PˆÊ‰~ ‚Å—LŠE‚Æ‚¢‚¤B Schwarz‚Ì•â‘è‚É‚æ‚è ‚ª¬—§‚·‚éB i‚Pj@@@@@@@@@@@@@@ ‚̏W‡‚ðˆÈŒã ‚Å‚ ‚ç‚í‚·B ‚ðâ‘Î’l‚ª‚PˆÈ‰º‚ÌŽÀ”‚Ü‚½‚Í•¡‘f”‚Æ‚·‚éB ‚Ì‹¤–ð•¡‘f”‚ð ‚Å‚ ‚ç‚í‚·B ‚É‚æ‚èA’PˆÊ‰~ ‚ÍŽ©•ªŽ©g‚Ɉڂ³‚ê‚éB ‚É‘®‚·‚é‚Æ‚«A ‚ɂ‚¢‚Ä‚à“¯—l‚Ì‚±‚Æ‚ªŒ¾‚¦A‚»‚Ì‹t‚àŒ¾‚¦‚éB“Á‚ɁA ‚Å‚ ‚éB‚¢‚܁A i‚Qj@@@@@@@@@@@@@ ‚ªðŒi‚Pj‚ð–ž‚½‚µ‚Ä‚¢‚é‚à‚Ì‚Æ‚·‚éB“–‘R@ B‚±‚Ì‚Æ‚«“Á‚ɁA ‚Å‚È‚¯‚ê‚΂Ȃç‚È‚¢B ‚Ì‚Æ‚«A ‚Æ“¯—l’PˆÊ‰~“à‚Ő³‘¥‚Å ‚É‘®‚·‚éB‚µ‚©‚àA ‚Å‚ ‚éB ‚Æ‚·‚éB‚±‚Ì‚Æ‚«A B@‚±‚±‚ŁA“™Ž®‚È‚çA ‚Å‚ ‚éB ‚̂΂ ‚¢A ‚Æ‚¨‚­B‚±‚Ì•û–@‚ð‚Ç‚ñ‚Ç‚ñ‚‚‚¯‚é‚ƁA—LŒÀ‚Ü‚½‚Í–³ŒÀ‚̊֐”—ñ i‚Rj@@@@@@@@@@ ‚𓾂éB‚±‚ê‚ç‚̊֐”‚ÌŠÔ‚É‚ÍŽŸ‚Ì“™Ž®‚ª¬‚è—§‚F ‚±‚ê‚çŠÖ”‚à‚Ü‚½ŠÖ”‚̃Nƒ‰ƒX @‚É‘®‚µAŠe ‚ƂȂ邱‚Æ‚Å‚ ‚éB ‚Ì‚Æ‚«A ‚É‚æ‚è’è‚ß‚ç‚ê‚é—L—ŠÖ”‚ŁA‚±‚ê‚ð@ @‚Å‚ ‚ç‚í‚·Bi‚Rj‚̊֐”‚½‚¿‚ð ‚É•t‚µ‚½ŠÖ”‚½‚¿‚ƌĂсA ‚É‘®‚·‚éƒpƒ‰ƒƒ^‚ƌĂԁB ‚¢‚܁A‚Q‚‚̏ꍇ‚ðlŽ@‚·‚éF ‚PD ‚É•t‚·‚éŠÖ”‚½‚¿‚ª–³ŒÀŒÂ‚ ‚éê‡B‚±‚̏ꍇ‚́Aƒpƒ‰ƒƒ^ ‚̐â‘Î’l‚ª‚·‚×‚Ä ‚P‚æ‚菬 ‚̏ꍇ‚Å‚ ‚éB“Á‚ɁA‚ ‚é ‚Ì‚Æ‚«‚ɂ́A ‚É‚½‚¢‚µ‚āA ‚Æ‚È‚éB ‚QD i‚Tj@@@@@@@@@ ‚ª‚ ‚éê‡Bi‚Rj‚̊֐”—ñ‚Í ‚Í—L—ŠÖ”@ @‚É‚È‚éB i‚Uj i‚Ufj ‚Æ‚È‚éB‚±‚±‚ŁA ŽŸ‚Ì‘½€Ž®‚Å’PˆÊ‰~‚ÌŠO‚Å‚µ‚©‚O‚Æ‚È‚ç‚È‚¢ i‚ ‚é‚¢‚́AP“™“I‚É‚PjB ‚ªi‚Ufj‚ÌŒ`‚ð‚à‚‚Ƃ·‚é‚ƁA‚±‚ê‚ç‚̊֐”‚Ì‹É‚Í’PˆÊ‰~‚ÌŠO‚É‚ ‚èA

4. Schumann Uwe J Bücher SCHUR HERGLOTZ / SCHUR / PICK / NEVANLINNA / WEYL. SCHUR I. schur issai. Schur J I. SCHUR Johannes. SCHUR Max. SCHUR Max http://www.tw-buchversand.de/s/index_45.html

Alle Authoren nach Buchstaben sortiert: a b c d ... z s: Schumann Uwe J Schumann Uwe Jens Schumann Uwe Jens(Hrsg) SCHUMANN v MANNSEGG I ... nächste Seite

5. Gesammelte Abhandlungen Mathematik Schur Issai Translate this page Gesammelte Abhandlungen Mathematik schur issai. Rubrik MathematikTitel Gesammelte Abhandlungen Autor schur issai. Kategorie http://www.scifi-netz.de/Schur-Issai-Gesammelte-Abhandlungen-3540056300.html

Gesammelte Abhandlungen Mathematik Schur Issai Rubrik: Mathematik Titel: Gesammelte Abhandlungen Autor: Schur Issai Kategorie: Arons R. R., Bonnenberg Hexa... Key Elements B, Al, Ga, I... Sandford David M. Using Sophi... Nijholt A. Context-Free Gramm... ... Home

6. Foreign Members (main_a12) Translate this page 1824 Schumacher Heinrich Christian (Germany). 1929 schur issai (Germany).1798 Schwab Johann Christoph (Germany). 1912 Schwartz Eduard (Germany). http://hp.iitp.ru/eng/gallery/fma_ma12.htm

Foreign Members of the Academy Sabine Edward sir (Great Britain) Sachau Karl Eduard (Germany) Sacy de Silvestre Antoine-Issac, baron (France) Saint-Claire Deville Henri-Etienne (France) Saint-Hilare Augustin-Francois-Cesar Provancal, de (France) Sakurai Joji (Japan) Salam Abdus (Pakistan) Salvadori Luigi (Italy) Salvandy Narcisse-Achille (France) Sanches (Sanches) Antonio Nunes Ribeiro (Portugal) Sars Georg Ossian (Norway) Sartorius Georg (Germany) Sauppe Hermann (Germany) Savich Pavle (Socialist Federal Republic of Yugoslavia) Savulesku Traian (Socialist Republic of Romania) Say Jean-Baptiste (France) Scacchi Archangelo (Italy) Schaeffer Jakob Christian (Denmark) Schaudinn Fritz Richard (Germany) Schefer Charles-Henri-Auguste (France) Scheler Werner Ehrenhold (German Democratic Republic) Schiaparelli Giovanni Virginio (Italy) Schiff Moritz (Switzerland) Schlegel August Wilhelm von (Germany) Schlegel Hermann (Netherlands) Schleicher August (Germany) Schleiden Mattias Jacob (Germany) Schlezinger Arthur Meyer (USA) Schloezer Auguste Ludwig (Germany) Schlumberger Leon-Gustave (France) Schmidt Constantin Wilhelm Moritz (Germany) Schmidt Johannes (Germany) Schmoller Gustav Friedrich (Germany) Schnitzler Johann Heinrich (France) Schreber Johann Christian Daniel (Germany) Schrieffer John Robert (USA) Schroedinger Erwin (Austria) Schroeter Johann Hieronymus (Germany) Schubert Friedrich Wilhelm (Germany) Schultz Ernst Christophor (Germany) Schultze Johann Heinrich (Germany)

7. Foreign Members (main_a12) Translate this page 1824 Schumacher Heinrich Christian (Germany). 1929 schur issai (Germany).1798 Schwab Johann Christoph (Germany). 1912 Schwartz Eduard (Germany). http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/GALLERY/FMA_MA12.HTM

Foreign Members of the Academy Sabine Edward sir (Great Britain) Sachau Karl Eduard (Germany) Sacy de Silvestre Antoine-Issac, baron de Silvestre (France) Saint-Claire Deville Henri-Etienne (France) Saint-Hilare Augustin-Francois-Cesar Provancal, de (France) Sakurai Joji (Japan) Salam Abdus (Pakistan) Salvadori Luigi (Italy) Salvandy Narcisse-Achille (France) Sanches (Sanches) Antonio Nunes Ribeiro (Portugal) Sars Georg Ossian (Norway) Sartorius Georg (Germany) Sauppe Hermann (Germany) Savich Pavle (Socialist Federal Republic of Yugoslavia) Savulesku Traian (Socialist Republic of Romania) Say Jean-Baptiste (France) Scacchi Archangelo (Italy) Schaeffer Jakob Christian (Denmark) Schaudinn Fritz Richard (Germany) Schefer Charles-Henri-Auguste (France) Scheler Werner Ehrenhold (German Democratic Republic) Schiaparelli Giovanni Virginio (Italy) Schiff Moritz (Switzerland) Schlegel August Wilhelm von (Germany) Schlegel Hermann (Netherlands) Schleicher August (Germany) Schleiden Mattias Jacob (Germany) Schlezinger Arthur Meyer (USA) Schloezer Auguste Ludwig (Germany) Schlumberger Leon-Gustave (France) Schmidt Constantin Wilhelm Moritz (Germany) Schmidt Johannes (Germany) Schmoller Gustav Friedrich (Germany) Schnitzler Johann Heinrich (France) Schreber Johann Christian Daniel (Germany) Schrieffer John Robert (USA) Schroedinger Erwin (Austria) Schroeter Johann Hieronymus (Germany) Schubert Friedrich Wilhelm (Germany) Schultz Ernst Christophor (Germany) Schultze Johann Heinrich (Germany)

8. Schur Issai Schur. Born 10 Jan 1875 in Mogilyov, Mogilyov province, BelarusDied 10 Jan 1941 in Jerusalem, Palestine. Click the picture http://www.math.hcmuns.edu.vn/~algebra/history/history/Mathematicians/Schur.html

9. TAzM_Titelliste Herglotz, Gustav /. schur, issai /. Pick, Georg /. Nevanlinna, Rolf http://www.weiss-leipzig.de/teubner-archiv-zur-mathematik-titelliste.htm

TEUBNER-ARCHIV zur Mathematik / TAzM Gauß, Carl Friedrich / Riemann, Bernhard / Minkowski, Hermann Gaußsche Flächentheorie, Riemannsche Räume und Minkowski-Welt Fotomechanische Nachdrucke von: Gauß, Carl Friedrich: Selbstanzeige. Gauß, Carl Friedrich: Allgemeine Flächentheorie. Riemann, Bernhard: Ueber die Hypothesen, welche der Geometrie zu Grunde liegen. 1854. Teubner-Verlag 1876. Riemann, Bernhard: Commentatio mathematica, qua respondere tentatur quaestioni ab ... 1861. Teubner-Verlag 1876. Minkowski, Hermann: Raum und Zeit. 1908. Teubner-Verlag 1911. Neben Fotos / unveröffentlichten Archivalien / Literatur- und Sachverzeichnis sowie einem neu verfassten kommentierenden Anhang der Herausgeber enthält der Band auch die neu verfasste Übersetzung: Neumann, Olaf (Übersetzung a. d. Lateinischen): Riemann, Bernhard: Commentatio mathematica, qua respondere tentatur quaestioni ab ... Hrsg.: Reichardt, Hans / Böhm, Johannes. (TAzM, Bd. 1)

10. Belarus: History And Famous Personalities: A List Of People Born In Belarus: S-Z schur, issai. issai schur, Mathematicians born in Belarus (en). schur, issai (18751941), from Repertorium der http://www.geocities.com/albaruthenia/IA/belborn3.html

INTERESTING WWW SITES IN AND ABOUT BELARUS Belarus: History and Famous Personalities ( continued A List of People Born in Belarus: A-D E-L M-R S-Z Sabin, Albert Albert B. Sabin (1906-1993) , from Immigrants Home of Fame (en) Albert B. Sabin Vaccine Institute (en) Albert Sabin (en) Dr. Albert B. Sabin , from Great Living Cincinnatians (en) Sadovskii, Aleksandr Sadovskii Aleksandr Ivanovich , Russian Biographical Dictionary (ru) Sadovskii Aleksandr Ivanovich (1859-1923) , from All-Russian genealogical tree (ru) Sadovskii Aleksandr Ivanovich (1859-1923) Sagalchik, Gennady Man vs. Machine Chess Match: Grandmaster Gennady Sagalchik (en) 1996 National Open Chess Tournament Prize Winners (en) Sapunov, Aleksei Aleksei Parfyonovich Sapunov (1851-1924) (en) Sapunov Aleksei Parfyonovich , Russian Biographical Dictionary (ru) Sarnoff, David David Sarnoff (en) David Sarnoff , Business Biography by Michael O'Toole (en) David Sarnoff: A Radio And Television Pioneer , from Jewish Heroes and Heroines in America (en) David Sarnoff Radio Club (en) David Sarnoff with Guglielmo Marconi , visited Rocky Point, Long Island in 1933 (en) Father of Broadcasting: David Sarnoff Grave of David Sarnoff (en) Sarnoff, David (1891-1971)

11. They Might Be Giants References for the biography of issai schur References for issai schur. Biography in Dictionary of Scientific Biography (New York 19701990). http://www.math.lsa.umich.edu/~jrs/giants.html

They Might Be Giants He was born in Byelorussia and died in (what is now) Israel. A student of Frobenius. Numerous fundamental constructions bear his name, including a lemma and a cohomology group. [Click here: Issai Schur A Fellow of the Royal Society. He wrote one of the first monographs on combinatorics. Well known for his work on partitions. [Click here: Major Percy MacMahon A student of Hilbert, he spent nearly twenty years at the Institute for Advanced Study. Wrote an influential treatise (Volume 1 of the Princeton Mathematics Series) that is, in the words of Roger Howe, "wonderful and terrible." [Click here: Hermann Weyl Belongs on everyone's top 10 list of mathematicians. Born in Switzerland, he held positions in St. Petersburg and Berlin. Probably bears as much responsibility as anyone for the invention of generating functions. [Click here: Leonhard Euler Hmm. This guy might be a ringer. [Click here: Back to John Stembridge's Home Page

12. Schur Biography of issai schur (18751941) issai schur. Born 10 Jan 1875 in Mogilyov, Mogilyov province, Belarus http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Schur.html

Issai Schur Born: 10 Jan 1875 in Mogilyov, Mogilyov province, Belarus Died: 10 Jan 1941 in Tel Aviv, Palestine Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Although Issai Schur was born in Mogilyov on the Dnieper, he spoke German without a trace of an accent, and nobody even guessed that it was not his first language. He went to Latvia at the age of 13 and there he attended the Gymnasium in Libau, now called Liepaja. In 1894 Schur entered the University of Berlin to read mathematics and physics. Frobenius was one of his teachers and he was to greatly influence Schur and later to direct his doctoral studies. Frobenius and Burnside had been the two main founders of the theory of representations of groups as groups of matrices . This theory proved a very powerful tool in the study of groups and Schur was to learn the foundations of this subject from Frobenius . Schur then made major steps forward, both in work of his own and work done in collaboration with Frobenius In 1901 Schur obtained his doctorate with a thesis which examined rational representations of the general linear group over the complex field. Functions which Schur introduced in his thesis are today called S-functions, where the S stands for Schur. Interest in the results of Schur's thesis continues today, for example J A Green published an account of these results in a modern setting in 1980.

13. References For Schur References for issai schur. Biography in Dictionary of Scientific Biography (NewYork 19701990). W Ledermann, issai schur and his school in Berlin, Bull. http://www-gap.dcs.st-and.ac.uk/~history/References/Schur.html

References for Issai Schur Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: K-R Biermann, (Berlin, 1988). H Begehr (ed.), Mathematik in Berlin : Geschichte und Dokumentation (Aachen, 1998). A Brauer and H Rohrbach (eds.), I Schur, Gesammelte Abhandlungen (Berlin, 1973). The history of combinatorial group theory : a case study in the history of ideas (New York, 1982). Articles: A Brauer, Gedenkrede auf Issai Schur, in A Brauer and H Rohrbach (eds.), I Schur, Gesammelte Abhandlungen (Berlin, 1973), v-xiii. W Ledermann, Issai Schur and his school in Berlin, Bull. London Math. Soc. M M Schiffer, Issai Schur : Some personal reminiscences, in H Begehr (ed.), Mathematik in Berlin : Geschichte und Dokumentation (Aachen, 1998). A Soifer, Issai Schur: Ramsey theory before Ramsey, Geombinatorics Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR October 1998 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Schur.html

14. Belarus: History And Famous Personalities: A List Of People Born In Belarus: S-Z schur, issai issai schur, Mathematicians born in Belarus (en); schur, issai(18751941), from Repertorium der Handschriftlichen Nachlasse (de); http://www.ac.by/country/belborn3.html

INTERESTING WWW SITES IN AND ABOUT BELARUS Belarus: History and Famous Personalities ( continued A List of People Born in Belarus: A-D E-L M-R S-Z Sabin, Albert Albert B. Sabin (1906-1993) , from Immigrants Home of Fame (en) Albert B. Sabin Vaccine Institute (en) Albert Sabin (en) Dr. Albert B. Sabin , from Great Living Cincinnatians (en) Sadovskii, Aleksandr Sadovskii Aleksandr Ivanovich , Russian Biographical Dictionary (ru) Sadovskii Aleksandr Ivanovich (1859-1923) , from All-Russian genealogical tree (ru) Sadovskii Aleksandr Ivanovich (1859-1923) Sagalchik, Gennady Man vs. Machine Chess Match: Grandmaster Gennady Sagalchik (en) 1996 National Open Chess Tournament Prize Winners (en) Sapunov, Aleksei Aleksei Parfyonovich Sapunov (1851-1924) (en) Sapunov Aleksei Parfyonovich , Russian Biographical Dictionary (ru) Sarnoff, David David Sarnoff (en) David Sarnoff , Business Biography by Michael O'Toole (en) David Sarnoff: A Radio And Television Pioneer , from Jewish Heroes and Heroines in America (en) David Sarnoff Radio Club (en) David Sarnoff with Guglielmo Marconi , visited Rocky Point, Long Island in 1933 (en) Father of Broadcasting: David Sarnoff Grave of David Sarnoff (en) Sarnoff, David (1891-1971)

15. Belarus: History And Famous Personalities: A List Of People Born In Belarus: S-Z schur, issai. issai schur, Mathematicians born in Belarus (en). schur, issai (18751941), from Repertorium der http://www.ifttp.bas-net.by/~kost/country/belborn3.html

INTERESTING WWW SITES IN AND ABOUT BELARUS Belarus: History and Famous Personalities ( continued A List of People Born in Belarus: A-D E-L M-R S-Z Sabin, Albert Albert B. Sabin (1906-1993) , from Immigrants Home of Fame (en) Albert B. Sabin Vaccine Institute (en) Albert Sabin (en) Dr. Albert B. Sabin , from Great Living Cincinnatians (en) Sadovskii, Aleksandr Sadovskii Aleksandr Ivanovich , Russian Biographical Dictionary (ru) Sadovskii Aleksandr Ivanovich (1859-1923) , from All-Russian genealogical tree (ru) Sadovskii Aleksandr Ivanovich (1859-1923) Sagalchik, Gennady Man vs. Machine Chess Match: Grandmaster Gennady Sagalchik (en) 1996 National Open Chess Tournament Prize Winners (en) Sapunov, Aleksei Aleksei Parfyonovich Sapunov (1851-1924) (en) Sapunov Aleksei Parfyonovich , Russian Biographical Dictionary (ru) Sarnoff, David David Sarnoff (en) David Sarnoff , Business Biography by Michael O'Toole (en) David Sarnoff: A Radio And Television Pioneer , from Jewish Heroes and Heroines in America (en) David Sarnoff Radio Club (en) David Sarnoff with Guglielmo Marconi , visited Rocky Point, Long Island in 1933 (en) Father of Broadcasting: David Sarnoff Grave of David Sarnoff (en) Sarnoff, David (1891-1971)

16. Poster Of Schur lived from 1875 to 1941 issai schur is mainly known for his fundamental work on the representation theory of groups but he also worked in number theory and analysis. Find out more at http://www-history.mcs.st-and.ac.uk/history/Posters2/Schur.html

Issai Schur lived from 1875 to 1941 Issai Schur is mainly known for his fundamental work on the representation theory of groups but he also worked in number theory and analysis. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Schur.html

17. Mark Wilson's Home Page - Science/Thesis enough of that. My thesis entailed enhancing a large program calledschur, named after the issai schur (18751941). schur provided a http://www.geocities.com/SiliconValley/Park/9541/science/thesis.html

Home Thesis My Thesis was completed in 1986. The title was Algorithms in Lie groups and supergroups . It revolved around a quite esoteric aspect of Particle Physics; Group Theory as applied to the pantheon of subatomic particles. SCHUR was written in Pascal. Originally Microsoft Pascal, but converted to Borland's Turbo Pascal. In fact, it seemed to be mostly about Computing . Programming was where my life seemed to be heading, I was becoming more and more interested in it and I realised that I was unlikely to find real employment as a Theoretical Physicist outside Academia, and I'd had enough of that. My thesis entailed enhancing a large program called SCHUR , named after the Issai Schur (1875-1941). SCHUR provided a computational environment where the entities being manipulated were partitions . The partitions on N is the list of ways N and defined a number of operators on these lists. As well as simple addition and subtraction, I recall there were also inner and outer products and the delightful plethysm . I spent a reasonably happy year puttering around within SCHUR adding a number of features (like that damn plethysm operator, which I recall as being horribly complex). SCHUR was (and is still?) a

18. Liste Historischer Mathematischer Dissertationen Von 1810 Bis 1933 Translate this page (Kummer, Weierstraß), 8.3.1879. 133, schur, issai (1875-1941), H, Übereine Klasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen. http://dochost.rz.hu-berlin.de/listen/histdisslist.php3?sec=S

19. Liste Historischer Mathematischer Dissertationen Von 1810 Bis 1933 Translate this page (Fuchs, Schwarz), 13.5.1893. 133, schur, issai (1875-1941), H, Über eineKlasse von Matrizen, die sich einer gegebenen Matrix zuordnen lassen. http://dochost.rz.hu-berlin.de/listen/histdisslist.php3?sec=S&onr=1

20. Math.colgate.edu/~aaron/programs/ISSAI runs through all 2^n colorings of 1,n to determine if 1,n can be colored avoidingmonochromatic schur k and l tuples colors are 0 and 1 issai=proc(n,k http://math.colgate.edu/~aaron/programs/ISSAI

<= `,n): fi: od: end: # returns a list of all 2 coloring of [1,n] as a list of lists of the # form [[red],[blue]] Allcolors:=proc(n) local i,S,A,t1,t2: option remember: if n=1 then RETURN([ [[1],[]], [[],[1]]]): else S:=[]: A:=Allcolors(n-1): for i from 1 to nops(A) do t1:=A[i][1]: t2:=A[i][2]: S:=[op(S),[t1,[op(t2),n]],[[op(t1),n],t2]]: od: S: fi: end:

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