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  1. link.springer.com › book › 10Linear Representations of Finite Groups | SpringerLink

    A classic textbook on the theory and applications of linear representations of finite groups, written by Jean-Pierre Serre. It covers topics such as character theory, induced representations, Brauer theory, and rationality questions.

  2. people.math.harvard.edu › ~landesman › assetsNOTES ON REPRESENTATIONS OF FINITE GROUPS - Harvard University

    A comprehensive introduction to representation theory of finite groups, covering basic definitions, properties, examples, and applications. Learn how to construct, decompose, and classify representations using characters, orthogonality, and Schur's lemma.

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    • Linear Representations of Finite Groups / Edition 1 by Jean-Pierre ...
    • Representations of Finite Groups | Definitions and simple examples ...
    • Linear Algebraic Groups and Finite Groups of Lie Type
    • Linear Representations of Finite Groups by Jean-Pierre Serre
    • Linear Representations of Finite Groups (Graduate Texts in Mathematics ...
    • Finite Group -- from Wolfram MathWorld

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  4. www.cambridge.org › core › booksLinear representations of finite groups (Chapter 12) - Finite ...

    5 juin 2012 · 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. Under these hypotheses, FG -representation theory goes particularly smoothly.

  5. agag-lassueur.math.rptu.de › ~lassueur › enChapter 1. Linear Representations of Finite Groups

    Linear Representations of Finite Groups Representation theory of finite groups is originally concerned with the ways of writing a finite group G as a group of matrices, that is using group homomorphisms from G to the general linear group GL

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  7. math.uchicago.edu › ~may › REU2022Contents LINEAR REPRESENTATIONS OF FINI - math.uchicago.edu

    LINEAR REPRESENTATIONS OF FINITE GROUPS. IAN MAGNELL. bstract. 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 irredu.

  8. math.uchicago.edu › ~may › REU2014REPRESENTATION THEORY FOR FINITE GROUPS - University of Chicago

    REPRESENTATION THEORY FOR FINITE GROUPS. Abstract. We cover some of the foundational results of representation the-ory including Maschke's Theorem, Schur's Lemma, and the Schur Orthogonal-ity Relations. We consider character theory, constructions of representations, and conjugacy classes.

  9. www.math.utah.edu › Math_6260 › finite_groupsRepresentations of finite groups - University of Utah

    Representations of finite groups. O. DRAGAN MILICIC. Repr. tegory of group r. presentations. Let G be a group. Let V be a vector space over C. Denote by GL(V ) the general linear group of V , i.e., the group o. pace V is a. group homo. ! G : GL(V ). A morphism. ! ) ;V : ( ( ;U) of representation ( ;V ) into ( ;U) is a linear map : V ! such t.