Methods of representation theory : with applications to finite groups and orders

著者

書誌事項

Methods of representation theory : with applications to finite groups and orders

Charles W. Curtis, Irving Reiner

（Pure and applied mathematics）

Wiley, c1981-c1987

  • v. 1
  • v. 1 : pbk
  • v. 2
  • v. 2 : pbk

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注記

"A Wiley-Interscience publication"

Includes bibliography and index

内容説明・目次

巻冊次

v. 2 : pbk ISBN 9780471060048

内容説明

The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: T.W. Anderson The Statistical Analysis of Time Series T.S. Arthanari & Yadolah Dodge Mathematical Programming in Statistics Emil Artin Geometric Algebra Norman T. J. Bailey The Elements of Stochastic Processes with Applications to the Natural Sciences George E. P. Box & George C. Tiao Bayesian Inference in Statistical Analysis R. W. Carter Simple Groups of Lie Type William G. Cochran & Gertrude M. Cox Experimental Designs, Second Edition Richard Courant Differential and Integral Calculus, Volume I Richard Courant Differential and Integral Calculus, Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume II D. R. Cox Planning of Experiments Harold M. S. Coxeter Introduction to Modern Geometry, Second Edition Charles W. Curtis & Irving Reiner Representation Theory of Finite Groups and Associative Algebras Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume I Charles W. Curtis & Irving Reiner Methods of Representation Theory with Applications to Finite Groups and Orders, Volume II Bruno de Finetti Theory of Probability, Volume 1 Bruno de Finetti Theory of Probability, Volume 2 W. Edwards Deming Sample Design in Business Research Amos de Shalit & Herman Feshbach Theoretical Nuclear Physics, Volume 1 - Nuclear Structure J. L. Doob Stochastic Processes Nelson Dunford & Jacob T. Schwartz Linear Operators, Part One, General Theory Nelson Dunford & Jacob T. Schwartz Linear Operators, Part Two, Spectral Theory - Self Adjoint Operators in Hilbert Space Nelson Dunford & Jacob T. Schwartz Linear Operators, Part Three, Spectral Operators Herman Feshbach Theoretical Nuclear Physics: Nuclear Reactions Bernard Friedman Lectures on Applications-Oriented Mathematics Gerald J. Hahn & Samuel S. Shapiro Statistical Models in Engineering Morris H. Hansen, William N. Hurwitz & William G. Madow Sample Survey Methods and Theory, Volume I - Methods and Applications Morris H. Hansen, William N. Hurwitz & William G. Madow Sample Survey Methods and Theory, Volume II - Theory Peter Henrici Applied and Computational Complex Analysis, Volume 1 - Power Series - Integration - Conformal Mapping - Location of Zeros Peter Henrici Applied and Computational Complex Analysis, Volume 2 - Special Functions - Integral Transforms - Asymptotics - Continued Fractions Peter Henrici Applied and Computational Complex Analysis, Volume 3 - Discrete Fourier Analysis - Cauchy Integrals - Construction of Conformal Maps - Univalent Functions Peter Hilton & Yel-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin O. Kreyszig Introductory Functional Analysis with Applications William H. Louisell Quantum Statistical Properties of Radiation Ali Hasan Nayfeh Introduction to Perturbation Techniques Emanuel Parzen Modern Probability Theory and Its Applications P. M. Prenter Splines and Variational Methods Walter Rudin Fourier Analysis on Groups C. L. Siegel Topics in Complex Function Theory, Volume I - Elliptic Functions and Uniformization Theory C. L. Siegel Topics in Complex Function Theory, Volume II - Automorphic and Abelian Integrals C. L. Siegel Topics in Complex Function Theory, Volume III - Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry J. J. Stoker Water Waves: The Mathematical Theory with Applications J. J. Stoker Nonlinear Vibrations in Mechanical and Electrical Systems

目次

Algebraic K -Theory. Class Groups of Integral Group Rings and Orders. The Theory of Blocks. The Representation Theory of Finite Groups of Lie Type. Rationality Questions. Indecomposable Modules. The Burnside Ring and the Representation Ring of a Finite Group. Bibliography. Indexes.
巻冊次

v. 1 : pbk ISBN 9780471523673

内容説明

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.

目次

Group Representations and Character Theory. Introduction to Modular Representations. Integral Representations: Orders and Lattices. Local and Global Theory of Integral Representations. Bibliography. Index.
巻冊次

v. 2 ISBN 9780471888710

内容説明

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.

目次

Algebraic K -Theory. Class Groups of Integral Group Rings and Orders. The Theory of Blocks. The Representation Theory of Finite Groups of Lie Type. Rationality Questions. Indecomposable Modules. The Burnside Ring and the Representation Ring of a Finite Group. Bibliography. Indexes.

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