If A is a p.i. algebra in characteristic zero with action from a finite-dimensional semisimple Hopf algebra H, then A has a nilpotent H-ideal N such that ArN will be H-verbally semiprime. Every H-verbally semiprime algebra is H-p.i. equivalent to a direct sum of H-verbally prime algebras. In the cas
Cocharacter Sequences for Algebras with Hopf Algebra Actions
β Scribed by Allan Berele
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 200 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
Ε½ < . the Poincare series P A H . In Section 3 we will compare these three Β΄k Ε½ . invariants with the ordinary S -cocharacter, GL k -cocharacter, and n Poincare series. As a result of this comparison we show that the following * Support by the NSF under Grant DMS 9303230. Work done during the author's sabbatical year at Bar Ilan University and the Hebrew University. We are happy to acknowledge the kind support and hospitality of these institutions.
π SIMILAR VOLUMES
We construct spectral sequences which provide a way to compute the cohomology theory that classifies extensions of graded connected Hopf algebras over a Ε½ . commutative ring as described by William M. Singer. Specifically, for A, B an abelian matched pair of graded connected R-Hopf algebras, we cons