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Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, "Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra", which marked 75 years since his birth and 15 years since his untimely death at age 60.

Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, "Some Recollections of Harish-Chandra", by A. Borel, and "Harish-Chandra's c-Function: A Mathematical Jewel", by S. Helgason. In addition, an expository paper, "An Elementary Introduction to Harish-Chandra's Work", gives an overview of some of his most basic mathematical ideas with references for further study.

This volume offers a comprehensive retrospective of Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level background in the representation theory of Lie groups and harmonic analysis. ... Read more

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This book introduces a systematic new approach to the construction and analysis of semisimple $p$-adic groups. The basic construction presented here provides an analogue in certain cases of the Harish-Chandra homomorphism, which has played an essential role in the theory of semisimple Lie groups. The book begins with an overview of the representation theory of GL$_n$ over finite groups. The author then explicitly establishes isomorphisms between certain convolution algebras of functions on two different groups. Because of the form of the isomorphisms, basic properties of representations are preserved, thus giving a concrete example to the correspondences predicted by the general philosphy of Langlands. The first chapter, suitable as an introduction for graduate students, requires only a basic knowledge of representation theory of finite groups and some familiarity with the general linear group and the symmetric group. The later chapters introduce researchers in the field to a new method for the explicit construction and analysis of representations of $p$-adic groups, a powerful method clearly capable of extensive further development. ... Read more

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Harish-Chandra presented these lectures on admissible invariant distributions for $p$-adic groups at the Institute for Advanced Study in the early 1970s. He published a short sketch of this material as his famous ``Queen's Notes''. This book, which was prepared and edited by DeBacker and Sally, presents a faithful rendering of Harish-Chandra's original lecture notes. The main purpose of Harish-Chandra's lectures was to show that the character of an irreducible admissible representation of a connected reductive $p$-adic group $G$ is represented by a locally summable function on $G$. A key ingredient in this proof is the study of the Fourier transforms of distributions on $\mathfrak g$, the Lie algebra of $G$. In particular, Harish-Chandra shows that if the support of a $G$-invariant distribution on $\mathfrak g$ is compactly generated, then its Fourier transform has an asymptotic expansion about any semisimple point of $\mathfrak g$. Harish-Chandra's remarkable theorem on the local summability of characters for $p$-adic groups was a major result in representation theory that spawned many other significant results. This book presents, for the first time in print, a complete account of Harish-Chandra's original lectures on this subject, including his extension and proof of Howe's Theorem. In addition to the original Harish-Chandra notes, DeBacker and Sally provide a nice summary of developments in this area of mathematics since the lectures were originally delivered. In particular, they discuss quantitative results related to the local character expansion. ... Read more

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In the Indian context. ... Read more

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This is a study of the artisans in the traditional socio-economic setup an their response to changing conditions of British rule in the Punjab. It reviews the objective and subjective social, economic and political realities in the Punjab from the perspective of the lower castes in general and the artisans in particular. The study is based on a variety of official and unofficial sources, field work and personal interviews with members of different artisan classes. ... Read more

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Historical account of United States Military Academy (West Point). ... Read more

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Chapters: Tenzing Norgay, Bachendri Pal, Saurabh Singh Shekhawat, Tashi Tenzing, Harish Chandra Singh Rawat, Santosh Yadav, Jamling Tenzing Norgay, H. P. S. Ahluwalia, Avtar Singh Cheema. Source: Wikipedia. Pages: 40. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Tenzing Norgay, GM (late May 1914 9 May 1986) born Namgyal Wangdi and often referred to as Sherpa Tenzing, was a Nepali-Indian Sherpa mountaineer, who was born in Nepal and later settled in India. Among the most famous mountain climbers in history, he was one of the first two individuals known to have reached the summit of Mount Everest, which he accomplished with Edmund Hillary on 29 May 1953. He was named by Time Magazine as one of 100 most influential people of the 20th century. There are conflicting accounts about his early life. The account that he gave in his first autobiography, accepted for several years, is that he was a Sherpa born and brought up in Tengboche, Khumbu in northeastern Nepal. However more recent research has led to the claim that he was born a Tibetan in Kharta valley, Tibet, but his family were left destitute when their yaks were killed by disease, and he was sold as a bonded servant to a Sherpa family in Thamel in Nepal. Khumbu lies near Mount Everest, which the Tibetans and Sherpas call Chomolungma which in Tibetan means Mother Goddess of the Earth. He was a Buddhist, the traditional religion of the Sherpas and Tibetans. His exact date of birth is not known, but he knew it was in late May by the weather and the crops. After his ascent of Everest on 29 May, he decided to celebrate his birthday on that day thereafter. His year of birth according to the Tibetan Calendar was the year of the rabbit, making it likely that he was born in 1914. He was originally called "Namgyal Wangdi", but as a child his name...More: http://booksllc.net/?id=231734 ... Read more

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The groups Sp(1;R), O(3;4) form a dual pair in the sense of Howe. This leads to a correspondence ofirreducible unitary representations between the double connected cover of Sp(1;R) and someirreducible unitary representations of O(3;4). By a property of double transitivity, Rallis & Schiffmann showed that the restriction of theresulting representation to G2 remains irreducible, but don't compute the characters of these representations. Neither do they compute thelowest term of the expansion of such a character, which should be the Fouriertransform of an orbital integral corresponding to a nilpotent orbit. The goal of this work is to make progress in this direction. We showed that this theory can be extended to include the case of G2. Then we interpret the Jacobson-Rallis-Schiffmann theorem as a statement that there is an injection fromthe regular semisimple orbits of sp(1;R) to those of g2, via unnormalized maps used in CIT. We attempt toextend this statement to nilpotent orbits and arrive at a conjecture, and compute the Cauchy Harish-Chandra integral for orbits in sp(1,R), and find they look like the Fourier transforms of orbital integrals of g2. ... Read more

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Chapters: Kazi Nazrul Islam, Shakti Samanta, Akshay Kumar Datta, Harish Chandra Mukherjee, Satyendranath Dutta, Syed Abul Mansur Habibullah, Abul Hashim, Mahboob Zahedi, Kumud Ranjan Mullick, Nikhilananda Sar, Saifuddin Choudhury. Source: Wikipedia. Pages: 52. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Kazi Nazrul Islam (Bengali: Kazi Nozrul Islam) (25 May 189929 August 1976) was a Bengali poet, musician and revolutionary who pioneered poetic works espousing intense spiritual rebellion against fascism and oppression. His poetry and nationalist activism earned him the popular title of Bidrohi Kobi (Rebel Poet). Accomplishing a large body of acclaimed works through his life, Nazrul is officially recognised as the national poet of Bangladesh and commemorated in India. Born into a poor Muslim family, Nazrul received religious education and worked as a muezzin at a local mosque. He learned of poetry, drama, and literature while working with theatrical groups. After serving in the British Indian Army, Nazrul established himself as a journalist in Kolkata (then Calcutta). He assailed the British Raj in India and preached revolution through his poetic works, such as "Bidrohi" ("The Rebel") and "Bhangar Gaan" ("The Song of Destruction"), as well as his publication "Dhumketu" ("The Comet"). His impassioned activism in the Indian independence movement often led to his imprisonment by British authorities. While in prison, Nazrul wrote the "Rajbandir Jabanbandi" ("Deposition of a Political Prisoner"). Exploring the life and conditions of the downtrodden masses of India, Nazrul worked for their emancipation. Nazrul's writings explore themes such as love, freedom, and revolution; he opposed all bigotry, including religious and gender. Throughout his career, Nazrul wrote short stories, novels, and es...More: http://booksllc.net/?id=539155 ... Read more

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Chapters: C. N. R. Rao, Pradeep Rohatgi, Debabrata Goswami, Manindra Agrawal, Harish Chandra Verma, H. K. Kesavan, Sandeep Pandey, Sanjay Mittal, Somenath Biswas, Sanjay Govind Dhande, Narsingh Deo, Kalyanmoy Deb, S. Sadagopan. Source: Wikipedia. Pages: 39. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Chintamani Nagesa Ramachandra Rao, also known as C.N.R. Rao (Kannada: (Citmai Nga Rmacadra Rya)) (born June 30, 1934, Bangalore, India) is an Indian chemist who has worked mainly in solid-state and structural chemistry. Rao obtained his bachelors degree at Central College, Bangalore University in 1951, obtaining a masters from Banaras Hindu University two years later, and obtained his PhD in 1958 from Purdue University. He served as a faculty member in the department of Chemistry at the Indian Institute of Technology Kanpur from 1963 to 1976 and as the director of the Indian Institute of Science from 1984 to 1994. He has also been a visiting professor at Purdue, the University of Oxford, the University of Cambridge and University of California, Santa Barbara. He is the founding President of the Jawaharlal Nehru Centre for Advanced Scientific Research. Rao is currently the National Research Professor and Linus Pauling Research Professor and Honorary President of the Jawaharlal Nehru Centre for Advanced Scientific Research in Bangalore, India. He was appointed Chair of the Scientific Advisory Council to the Indian Prime Minister in January 2005, a position which he had occupied earlier during 1985-89.He is also the director of International Centre for Materials Science (ICMS). Rao is one of the world's foremost solid state and materials chemists. He has contributed to the development of the field over five decades. His work on transition metal oxides has led to basic understanding of novel ...More: http://booksllc.net/?id=1605325 ... Read more

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Chapters: Central Drug Research Institute, Ramakrishna Mission Home of Service, Harish-Chandra Research Institute, Indian Institute of Toxicology Research, National Botanical Research Institute, Govind Ballabh Pant Social Science Institute, National Academy of Sciences, India, Central Institute of Medicinal and Aromatic Plants. Source: Wikipedia. Pages: 30. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: The Central Drug Research Institute (CDRI) is one of the first laboratories to be established in India right after its independence. CDRI is among the thirty nine laboratories that are functioning under the aegis of the council of scientific and Industrial Research CSIR of India. CDRI was formally inaugurated on 17th Feb 1951 by the then Prime Minister of India, Jawahar Lal Nehru. CDRI is considered to be a pioneer research organization in the field of biomedical research where all the infrastructure and expertise are available to develop a drug right from its concept to market. The very latest techniques and methodologies are employed for developing drugs, diagnostics and vaccines. CDRI is a multidisciplinary research laboratory, employing scientific personnel from various areas of biomedical sciences. For administrative and scientific purposes the Institute's manpower has been grouped into 17 R ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Not illustrated. Excerpt: Professor Papiya Ghosh was a historian of South Asian history and a professor of the University of Patna, in Patna, the capital of Bihar state of India. She was found brutally murdered December 3, 2006, along with her elderly housemaid, Malti Devi, aged about 70, apparently as a result of an attempted burglary. Prof. Ghosh, an ethnic Bengali, was the sister of Tuktuk Kumar (née Ghosh), an IAS officer of the West Bengal cadre, and a close associate of the writers Jug Suraiya, now with the Times of India in New Delhi, and Amitabh Mitra. Papiya Ghosh was born on 8 October 1953, at Dumka (Bihar, India). She was the third of four daughters of Ujjal Kumar Ghosh, an IAS officer of the Bihar Cadre, and his wife Purnima Ghosh. Her father was a victim of what was widely held to be a political murder in 1957. The four sisters were subsequently brought up by their mother, who took up a job as a school teacher to support her daughters after the murder of her husband. Papiya attended St Joseph's Convent school in Patna, where she was school topper and elected Head Girl in 1971. She earned an undergraduate degree in History from the Patna Women's College (Patna University) and was also elected Premier of the Students' Union. Papiya was an avid debater, dramatist and writer from an early age, and, together with her sister Tuktuk, became something of a household name as a regular contributor to Kookie Kol, a column in the Junior Statesman, which was a popular youth magazine of the time. As Patna University was closed down indefinitely in 1975 during Jayaprakash Narayan's agitation, Papiya Ghosh moved to Delhi University where she completed her MPhil and PhD, studying the pre-independence civil disobedience movement in Bihar (1930-34). After... More: http://booksllc.net/?id=12729663 ... Read more

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Alka comes from an orthodox Brahmin family in a small town in India. In a very short time she loses her heart to John. His attractions are more powerful than her religious beliefs, and she chooses him as her life partner.Alka and John lead a happy and successful life but are unable to have children. While visiting India John is smitten with a low-caste vegetable vendor named Sitabai. John successfully argues that Sitabai would make a good surrogate mother. As soon as Sitabai’s pregnancy was confirmed, elaborate religious rituals are conducted to purify her so that she could be temporarily become a high-caste person. From her impoverished origins as an untouchable, Sita Devi finds a new life in America as a free-thinking woman with little regard for Indian traditions. Alka, in contrast is bound by rigid customs and centuries-old traditions and beliefs. While one is presented as though she is bound by the traditional cultures, the other tries to tear away from them. ... Read more