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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

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Weak Hopf Algebras: II. Representation T
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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

Cocharacter Sequences for Algebras with
✍ Allan Berele 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 200 KB

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