Let H denote a finite-dimensional Hopf algebra with antipode S over a field މ -. w We give a new proof of the fact, due to Oberst and Schneider Manuscripta Math. 8 Ž . x 1973 , 217᎐241 , that H is a symmetric algebra if and only if H is unimodular and S 2 is inner. If H is involutory and not sem
✦ LIBER ✦
Representations of Finite Classical Groups: A Hopf Algebra Approach
✍ Scribed by Andrey V. Zelevinsky (auth.)
- Book ID
- 127450782
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 2 MB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540387110
No coin nor oath required. For personal study only.
✦ Subjects
Group Theory and Generalizations
📜 SIMILAR VOLUMES
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On Cocommutative Hopf Algebras of Finite
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⚖ 207 KB
Let G be a finite algebraic group, defined over an algebraically closed field k of characteristic p>0. Such a group decomposes into a semidirect product G=G 0 \_G red with a constant group G red and a normal infinitesimal subgroup G 0 . If the principal block B 0 (G) of the group algebra H(G) has fi