On semisimple Hopf algebras of dimension
โ Scribed by Jingcheng Dong; Shuanhong Wang
- Book ID
- 118461311
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 219 KB
- Volume
- 375
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ 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
Let H be a finite-dimensional Hopf algebra with antipode S of dimension pq over an algebraically closed field of characteristic 0, where p q are odd primes. If H is not semisimple, then the order of S 4 is p, and Tr(S 2p ) is an integer divisible by p 2 . In particular, if dim H = p 2 , we prove tha
In this paper we completely classify nontrivial semisimple Hopf algebras of dimension 16. We also compute all the possible structures of the Grothendieck ring of semisimple non-commutative Hopf algebras of dimension 16. Moreover, we prove that non-commutative semisimple Hopf algebras of dimension p