Self-dual and quasi self-dual algebras
โ Scribed by Gerstenhaber, M.
- Book ID
- 121552550
- Publisher
- The Hebrew University Magnes Press
- Year
- 2014
- Tongue
- English
- Weight
- 247 KB
- Volume
- 200
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Regular maps are cellular decompositions of surfaces with the โhighest level of symmetryโ, not necessarily orientationโpreserving. Such maps can be identified with threeโgenerator presentations of groups __G__ of the form __G__ = ใ__a, b, c__|__a__^2^ = __b__^2^ = __c__^2^ = (__ab__)^__
We prove that, over an algebraically closed field of characteristic zero, a semisimple Hopf algebra that has a nontrivial self-dual simple module must have even dimension. This generalizes a classical result of W. Burnside. As an application, we show under the same assumptions that a semisimple Hopf