๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Semisimple Hopf algebras of dimension 6, 8

โœ Scribed by Akira Masuoka


Book ID
112886209
Publisher
The Hebrew University Magnes Press
Year
1995
Tongue
English
Weight
437 KB
Volume
92
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On semisimple Hopf algebras of dimension
โœ Jingcheng Dong; Shuanhong Wang ๐Ÿ“‚ Article ๐Ÿ“… 2013 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 219 KB
Non-semisimple Hopf algebras of dimensio
โœ Siu-Hung Ng ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 127 KB

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

On Semisimple Hopf Algebras of Dimension
โœ Sonia Natale ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 274 KB

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

Classification of Semisimple Hopf Algebr
โœ Yevgenia Kashina ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 319 KB

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