𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Identities of Algebras with Actions of Hopf Algebras

✍ Scribed by Y.A. Bahturin; V. Linchenko


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
222 KB
Volume
202
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


P.I. Algebras with Hopf Algebra Actions
✍ Allan Berele; Jeffrey Bergen πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 123 KB

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
✍ Allan Berele πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 200 KB

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 autho

Lots of Hopf Algebras
✍ Jeanne Duflot πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 258 KB

The purpose of this paper is to give a ''universal'' construction of Hopf algebras over any commutative ring. The mod-p Steenrod algebras are all examples of this construction; other examples of Hopf algebras related to the mod-p Steenrod algebras are also produced. Then we give an argument to produ

Identities of Graded Algebras
✍ Y.A. Bahturin; M.V. Zaicev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 145 KB
Skew Primitive Elements in Hopf Algebras
✍ V.K Kharchenko πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 183 KB

By means of a quantum analogue of the Specht᎐Wever criteria we prove that every homogeneous character Hopf algebra over a field of zero characteristic is a quantification of a suitable Lie algebra. The skew primitive elements in character Hopf algebras are characterized in terms of algebraic identit