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Home > Catalog > New Directions in Hopf Algebras
New Directions in Hopf Algebras


  • Page extent: 496 pages
  • Size: 234 x 156 mm
  • Weight: 0.69 kg
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 (ISBN-13: 9780521124317)

  • Also available in Hardback
  • Published December 2009

Manufactured on demand: supplied direct from the printer

$60.00 (C)

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.


1. Pointed Hopf algebras Nicolas Andruskiewitsch and Hans-Jurgen Schneider; 2. On the classification of finite-dimensional triangular Hopf algebras Shlomo Gelaki; 3. Coideal subalgebras and quantum symmetric pairs Gail Letzter; 4. Hopf algebra extensions and cohomology Akira Masuoka; 5. Finite quantum groupoids and their applications Dmitri Nikshych and Leonid Vainerman; 6. On quantum algebras and coalgebras, oriented quantum algebras and coalgebras, invariants of 1-1 tangles, knots, and links David Radford; 7. Hopf algebra extensions and monoidal categories Peter Schauenburg; 8. A short course on quantum matrices Mitsuhiro Takeuchi; 9. The Brauer group of a Hopf algebra Fred Van Oystaeyen and Yinhuo Zhang.


Nicolas Andruskiewitsch, Hans-Jurgen Schneider, Shlomo Gelaki, Gail Letzter, Akira Masuoka, Dmitri Nikshych, Leonid Vainerman, David Radford, Peter Schauenburg, Mitsuhiro Takeuchi, Fred Van Oystaeyen, Yinhuo Zhang

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