New Directions in Hopf Algebras

Klappentext This book contains survey articles for graduate students and researchers on various topics surrounding Hopf algebras. Zusammenfassung These articles form a broad survey of this exciting field. Topics include pointed Hopf algebras! triangular Hopf algebras! Hopf algebra extensions and cohomology! quantum groups and groupoids! quantum symmetric pairs! monoidal categories! and the Brauer group of a Hopf algebra. Inhaltsverzeichnis 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.

Product details

• Authors: S. Montgomery, Susan (University of Southern Californ Montgomery, Susan Schneider Montgomery
• Assisted by: Susan Montgomery (Editor), Hans-Jurgen Schneider (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 06.05.2002
• EAN: 9780521815123
• ISBN: 978-0-521-81512-3
• No. of pages: 496
• Series: Mathematical Sciences Research
• Subject: Natural sciences, medicine, IT, technology > Medicine > General