Product Description
This paperback edition of the standard algebra text reviews the development of the representation theory of finite groups and associative algebras and discusses applications and connections with other parts of mathematics. The authors incorporate a self-contained account of the three main branches of representation theory - ordinary, modular, and integral - and demonstrate the connections between them. There is a wealth of illustrative examples and auxiliary results, and almost every section contains exercises. ... Read more

Product Description
First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics. ... Read more

Product Description

Emotions have emerged as a topic of interest across the disciplines, yet studies and findings on emotions tend to fall into two camps: body versus brain, nature versus nurture. Emotions as Bio-cultural Processes offers a unique collaboration across the biological/social divide—from psychology and neuroscience to cultural anthropology and sociology—as 15 noted researchers develop a common language, theoretical basis, and methodology for examining this most sociocognitive aspect of our lives. Starting with our evolutionary past and continuing into our modern world of social classes and norms, these multidisciplinary perspectives reveal the complex interplay of biological, social, cultural, and personal factors at work in emotions, with particular emphasis on the nuances involved in pride and shame.

A sampling of the topics: (1) The roles of the brain in emotional processing. (2) Emotional development milestones in childhood. (3) Social feeling rules and the experience of loss. (4) Emotions as commodities? The management of feelings and the self-help industry. (5) Honor and dishonor: societal and gender manifestations of pride and shame. (6) Emotion regulation and youth culture. (7) Pride and shame in the classroom.

A volume of such wide and integrative scope as Emotions as Bio-cultural Processes should attract a large cohort of readers on both sides of the debate, among them emotion researchers, social and developmental psychologists, sociologists, social anthropologists, and others who analyze the links between humans that on the one hand differentiate us as individuals but on the other hand tie us to our socio-cultural worlds.

Product Description
This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the classical theory of orders and maximal orders over a Dedekind ring. It starts wtih a long chapter that provides the algebraic prerequisites for this theory, covering basic material on Dedekind domains, localizations and completions as well as semisimple rings and separable algebras. This is followed by an introduction to the basicl tools in studying orders, such as reduced norms and traces, discriminants, and localization of orders. The theory of maximal orders is then developed in the local case, first in a complete setting, and then over any discrete valuation ring. This paves the way to a chapter on the ideal theory in global maximal orders with detailed expositions on ideal classes, the jordan-Zassenhaus Theorum and genera. This is followed by a chapter on Brauer groups and crossed product algebras, where Hasse's theory of cyclic algebras over local fields is presented in a clear and self-contained fashion. Assuming a couple of facts from class field theory, the book goes on to present the theory of simple algebras over global foelds covering inparticular Eichler's Theorum on the ideal classes in a maximal order, as well as various results on the KO group and Picard group of orders. The rest of the book is devoted to a discussion of non-maximal orders, withparticualr emphasis on hereditary orders and group rings. The ideas collected in this book have found important applications in the smooth representation theory of reductive p-adic groups. This text provides a useful introduction to this wide range of topics. It is written at a level suitable for beginning postgraduate students, is highly suited to class teaching and provides a wealth of exercises. ... Read more

Product Description
Revised and expanded, this second volume presents a modern treatment of finite groups and orders. It covers classical, modular and integral representation theory and contains many important new results. Beginning with an introductory review of ring theory, algebraic number theory, and homological algebra, the book then moves on to other topics such as modular representations and integral representation theory. Also covered are class groups and Picard groups, the theory of blocks, rationality questions, indecomposable modules and more. ... Read more