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Linear Representations of Finite Groups
Name: Linear Representations of Finite Groups
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It describes the correspondence, due to Frobenius, between linear representations and charac ters. This is a fundamental result, of constant use in mathematics. Buy Linear Representations of Finite Groups (Graduate Texts in Mathematics) (v. 42) on paddywagonfilms.com ✓ FREE SHIPPING on qualified orders. Mathematics Subject Classification: 20Cxx. Library of Congress Cataloging in Publication Data. Serre, Jean.. Pierre. Linear representations of finite groups.
Let G be a finite group, let K be a field, and let V be a finite-dimensional vector space over K. Denote by GL(V) the group of invertible linear transformations from V to itself. A group homomorphism ρ: G → GL(V) is called a linear K-representation of G in V (or just a representation of G for short). Linear representations. Let be a –vector space and a finite group. A linear representation of a finite group is a group homomorphism. The vector space is called representation space of Often the term representation of is also used for the representation space. 14 Sep Basic notions of multilinear algebra. Exercises on Chapter 1. Chapter 2. Representations of finite groups. Linear representations.
Jean-Pierre Serre, Linear representations of finite groups. Bull. Amer. Math. Soc. 84 (), no. 5, paddywagonfilms.com In general, if G is a finite group, the number h of irreducible characters of G is equal to the number of conjugacy classes of G. This essentially. 14 Dec 2 Linear group representations. Example; Irreducible representations. 1 Example. Matrix representations. 3 Schur's lemma. Linear Representations of Finite Groups has 22 ratings and 2 reviews. Pietro said : Extremely elegant proofs and logical structure. Lacks intuition a bit. Buy a cheap copy of Linear Representations of Finite Groups book by Jean- Pierre Serre. This book consists of three parts, rather different in level and purpose.