Description

Book Synopsis
Offers an introduction to four different flavours of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable the reader to pursue research in representation theory.

Table of Contents
  • Algebras: Representations of algebras
  • Further topics on algebras
  • Groups: Groups and group algebras
  • Symmetric groups
  • Lie algebras: Lie algebras and enveloping algebras
  • Semisimple Lie algebras
  • Root systems
  • Representations of semisimple Lie algebras
  • Hopf algebras: Coalgebras, bialgebras, and Hopf algebras
  • Representations and actions
  • Affine algebraic groups
  • Finite-dimensional Hopf algebras
  • Appendices: The language of categories and functors
  • Background from linear algebra
  • Some commutative algebra
  • The Diamond Lemma
  • The symmetric ring of quotients
  • Bibliography
  • Subject index
  • Index of names
  • Notation.

    A Tour of Representation Theory

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      A Hardback by Martin Lorenz

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        Publisher: MP-AMM American Mathematical
        Publication Date: 10/30/2018 12:00:00 AM
        ISBN13: 9781470436803, 978-1470436803
        ISBN10: 1470436809

        Description

        Book Synopsis
        Offers an introduction to four different flavours of representation theory: representations of algebras, groups, Lie algebras, and Hopf algebras. A separate part of the book is devoted to each of these areas and they are all treated in sufficient depth to enable the reader to pursue research in representation theory.

        Table of Contents
        • Algebras: Representations of algebras
        • Further topics on algebras
        • Groups: Groups and group algebras
        • Symmetric groups
        • Lie algebras: Lie algebras and enveloping algebras
        • Semisimple Lie algebras
        • Root systems
        • Representations of semisimple Lie algebras
        • Hopf algebras: Coalgebras, bialgebras, and Hopf algebras
        • Representations and actions
        • Affine algebraic groups
        • Finite-dimensional Hopf algebras
        • Appendices: The language of categories and functors
        • Background from linear algebra
        • Some commutative algebra
        • The Diamond Lemma
        • The symmetric ring of quotients
        • Bibliography
        • Subject index
        • Index of names
        • Notation.

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