New Directions in Hopf Algebras

New Directions in Hopf Algebras

by Susan Montgomery
     
 

ISBN-10: 052112431X

ISBN-13: 9780521124317

Pub. Date: 12/03/2009

Publisher: Cambridge University Press

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

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Overview

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.

Product Details

ISBN-13:
9780521124317
Publisher:
Cambridge University Press
Publication date:
12/03/2009
Series:
Mathematical Sciences Research Institute Publications Series, #43
Pages:
496
Product dimensions:
6.10(w) x 9.10(h) x 1.20(d)

Related Subjects

Table of Contents

Preface
Pointed Hopf Algebras1
On the Classification of Finite-Dimensional Triangular Hopf Algebras69
Coideal subalgebras and Quantum Symmetric Pairs117
Hopf Algebra Extensions and Cohomology167
Finite Quantum Groupoids and Their Applications211
On Quantum Algebras and Coalgebras, Oriented Quantum Algebras and Coalgebras, Invariants of 1-1 Tangles, Knots, and Links263
Hopf Algebra Extensions and Monoidal Categories321
A Short Course on Quantum Matrices383
The Brauer Group of a Hopf Algebra437

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