Representations of Groups

The aim of this chapter is to introduce the reader to the theory of representations of groups by linear transformations of a vector space or, equivalently, by matrices over a field. Aside from its intrinsic interest this theory has proved to be a most pow

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Editorial Board

J.H. Ewing F.W. Gehring

Springer Science+Business Media, LLC

P.R. Halmos

Graduate Texts in Mathematics

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33 HIRSCH. Differential Topology. 34 SPITZER. Principles of Random Walk. 2nd ed. 35 WERMER. Banach Algebras and Several Complex Variables. 2nd ed. 36 KELLEy/NAMIOKA et al. Linear Topological Spaces. 37 MONK. Mathematical Logic. 38 GRAUERT/FIuTZSCHE. Several Complex Variables. 39 ARVESON. An Invitation to C*-Algebra~ . 40 KEMENy/SNELLlKNAPP. Denumerable Markov Chains. 2nd ed. 41 APOSTOL. Modular Functions and Dirichlet Series in Number Theory. 2nd ed. 42 SERRE. Linear Representations of Finite Groups. 43 GILLMAN/JERISON. Rings of Continuous Functions. 44 KENDIG. Elementary Algebraic Geometry. 45 LOEVE. Probability Theory I. 4th ed. 46 LOEVE. Probability Theory II. 4th ed. 47 MOISE. Geometric Topology in Dimensions 2 and 3. 48 SACHSlWu. General Relativity for Mathematicians. 49 GRUENBERGIWEIR. Linear Geometry. 2nd ed. 50 EDWARDS. Fermat's Last Theorem. 51 KLINGENBERG. A Course in Differential Geometry. 52 HARTSHORNE. Algebraic Geometry. 53 MANIN. ACourse in Mathematical Logic. 54 GRAVERIW ATKINS. Combinatorics with Emphasis on the Theory of Graphs. 55 BROWN/PEARCY. Introduction to Operator Theory I: Elements of Functional Analysis. 56 MASSEY. Algebraic Topology: An Introduction. 57 CROWELL!FOX. Introduction to Knot Theory. 58 KOBLITZ. p-adic Numbers. p-adic Analysis. and Zeta-Functions. 2nd ed. 59 LANG. Cyclotomic Fields. 60 ARNOLD. Mathematical Methods i