On semisimple finite-dimensional Hopf algebras
β Scribed by R. B. Mukhatov
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 149 KB
- Volume
- 167
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
We show that if A is a semisimple Hopf algebra of dimension pq 2 over an algebraically closed field k of characteristic zero, then under certain restrictions either A or A \* must have a non-trivial central group-like element. We then classify all semisimple Hopf algebras of dimension pq 2 over k wh
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 β¬ a s a m a, β¬ x s x m a q 1 m x, and xa s qax Ε½ . Ε½ . for some q g k \_ 0. With the advent of quantum groups these re