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9780521124317

New Directions in Hopf Algebras

by
  • ISBN13:

    9780521124317

  • ISBN10:

    052112431X

  • Format: Paperback
  • Copyright: 2009-12-03
  • Publisher: Cambridge University Press

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Summary

This timely collection of expository papers highlights progress and new directions in Hopf algebras. Arising from the MSRI workshop on Hopf Algebras in October 1999, some papers consider Hopf versions of classical topics, such as the Brauer group, while others are closer to recent work in quantum groups. In particular, there are articles on recent progress in classifying finite-dimensional Hopf algebras, both in the semisimple case and in the pointed case. The volume also includes an updated version of Mitsuhiro Takeuchi's article "A short course on quantum matrices", now a standard reference in spite of its relative lack of availability.

Table of Contents

Pointed Hopf algebras
On the classification of finite-dimensional triangular Hopf algebras
Coideal subalgebras and quantum symmetric pairs
Hopf algebra extensions and cohomology
Finite quantum groupoids and their applications
On quantum algebras and coalgebras, oriented quantum algebras and coalgebras, invariants of 1-1 tangles, knots, and links
Hopf algebra extensions and monoidal categories
A short course on quantum matrices
The Brauer group of a Hopf algebra
Table of Contents provided by Publisher. All Rights Reserved.

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