Let H denote a finite-dimensional Hopf algebra with antipode S over a field މ -. w We give a new proof of the fact, due to Oberst and Schneider Manuscripta Math. 8 Ž . x 1973 , 217᎐241 , that H is a symmetric algebra if and only if H is unimodular and S 2 is inner. If H is involutory and not sem
✦ LIBER ✦
FINITE DIMENSIONAL REPRESENTATIONS OF u-HOPF ALGEBRAS
✍ Scribed by Yang, Shilin
- Book ID
- 126642186
- Publisher
- Taylor and Francis Group
- Year
- 2001
- Tongue
- English
- Weight
- 150 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0092-7872
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Some of the first examples of Hopf algebras described over a field k w x which are neither commutative nor cocommutative 13, 14 involve elements a and x which satisfy the relations ⌬ a s a m a, ⌬ x s x m a q 1 m x, and xa s qax Ž . Ž . for some q g k \_ 0. With the advent of quantum groups these re