Representation dimension for Hopf actions
✍ Scribed by JuXiang Sun; GongXiang Liu
- Book ID
- 113082774
- Publisher
- SP Science China Press
- Year
- 2011
- Tongue
- English
- Weight
- 165 KB
- Volume
- 55
- Category
- Article
- ISSN
- 1674-7283
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
If A is a weak C U -Hopf algebra then the category of finite-dimensional unitary representations of A is a monoidal C U -category with its monoidal unit being the GNS representation D associated to the counit . This category has isomorphic left dual and right dual objects, which leads, as usual, to
Ž < . the Poincare series P A H . In Section 3 we will compare these three ´k Ž . invariants with the ordinary S -cocharacter, GL k -cocharacter, and n Poincare series. As a result of this comparison we show that the following \* Support by the NSF under Grant DMS 9303230. Work done during the autho