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Linear Representations of Finite Groups. Textbook. © 1977. Download book PDF. Overview. Authors: Jean-Pierre Serre. Part of the book series: Graduate Texts in Mathematics (GTM, volume 42) 257k Accesses. 839 Citations. 6 Altmetric. Search within this book. Table of contents (19 chapters) Front Matter. Pages i-x. Download chapter PDF.
Definition. Linear representations. Let be a –vector space and a finite group. A linear representation of is a group homomorphism Here is notation for a general linear group, and for an automorphism group.
LINEAR REPRESENTATIONS OF FINITE GROUPS. IAN MAGNELL. Abstract. The goal of this paper is to introduce the necessary definitions in representation theory of finite groups and develop the fundamental theory regarding characters, induced representations, and irreducibility.
6 de dic. de 2012 · Books. Linear Representations of Finite Groups. This book consists of three parts, rather different in level and purpose: The first part was originally written for quantum chemists. It...
12 - Linear representations of finite groups. Published online by Cambridge University Press: 05 June 2012. M. Aschbacher. Chapter. Get access. Cite. Summary. Chapter 12 considers FG -representations where G is a finite group, F is a splitting field for G, and the characteristic of F does not divide the order of G.
NOTES ON REPRESENTATIONS OF FINITE GROUPS 3 1. INTRODUCTION Loosely speaking, representation theory is the study of groups acting on vector spaces. It is the natural intersection of group theory and linear algebra. In math, representation theory is the building block for subjects like Fourier
About this book. This book gives an exposition of the fundamentals of the theory of linear representations of finite and compact groups, as well as elements of the the ory of linear representations of Lie groups. As an application we derive the Laplace spherical functions.
