On Semisimple Hopf Algebras of Dimension 2m
โ Scribed by Yevgenia Kashina
- Book ID
- 111570445
- Publisher
- Springer Netherlands
- Year
- 2003
- Tongue
- English
- Weight
- 221 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1386-923X
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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