Description

Book Synopsis

The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.

Table of Contents

Coalgebras; Representations of Coalgebras; Filtrations and Gradings on Coalgebras; Bialgebras; The Convolution Algebra; Hopf Algebras; Hopf Modules and Co-Hopf Modules; Hopf Algebras as Modules Over Their Hopf Subalgebras; Integrals; Actions by Bialgebras and Hopf Algebras; Quasitriangular Bialgebras and Hopf Algebras; The Drinfel'd Double; Co-Quasitriangular Bialgebras and Hopf Algebras; Pointed Hopf Algebras; Finite-Dimensional Hopf Algebras Over a Field of Characteristic Zero.

Hopf Algebras

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    A Hardback by David E Radford

    £166.50

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 3 January 2012
      ISBN-13 9789814335997
      978-9814335997
      ISBN-10 9814335991
      Also in:
      Algebra

      Description

      Book Synopsis

      The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.

      Table of Contents

      Coalgebras; Representations of Coalgebras; Filtrations and Gradings on Coalgebras; Bialgebras; The Convolution Algebra; Hopf Algebras; Hopf Modules and Co-Hopf Modules; Hopf Algebras as Modules Over Their Hopf Subalgebras; Integrals; Actions by Bialgebras and Hopf Algebras; Quasitriangular Bialgebras and Hopf Algebras; The Drinfel'd Double; Co-Quasitriangular Bialgebras and Hopf Algebras; Pointed Hopf Algebras; Finite-Dimensional Hopf Algebras Over a Field of Characteristic Zero.

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