Let A be a PI-algebra over a field F. We study the asymptotic behavior of the sequence of codimensions c n (A) of A. We show that if A is finitely generated over F then Inv(A)=lim n ร n c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is fi
โฆ LIBER โฆ
Finitely generated invariants of Hopf algebras on free associative algebras
โ Scribed by Vitor O. Ferreira; Lucia S.I. Murakami
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 153 KB
- Volume
- 420
- Category
- Article
- ISSN
- 0024-3795
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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