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- Title
THE GRADED CENTER OF THE STABLE CATEGORY OF A BRAUER TREE ALGEBRA.
- Authors
KESSAR, RADHA; LINCKELMANN, MARKUS
- Abstract
We calculate the graded center of the stable category of a Brauer tree algebra. The canonical map from the Tate analogue of Hochschild cohomology to the graded center of the stable category is shown to induce an isomorphism module taking quotients by suitable nilpotent ideals. More precisely, we show that this map is surjective with nilpotent kernel in even degrees, while this map need not be surjective in odd degrees in general.
- Subjects
ALGEBRA; NILPOTENT groups; SET theory; MATHEMATICAL analysis; ISOMORPHISM (Mathematics)
- Publication
Quarterly Journal of Mathematics, 2010, Vol 61, Issue 3, p337
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/han038