The graded center of the stable category of a Brauer tree algebra

Radha Kessar, Markus Linckelmann

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)337-349
Number of pages13
JournalQuarterly Journal of Mathematics
Volume61
Issue number3
Early online date28 Mar 2009
DOIs
Publication statusPublished - Sep 2010

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Algebra
Hochschild Cohomology
Isomorphism
Quotient
Odd
kernel
Analogue
Calculate
Module

Cite this

The graded center of the stable category of a Brauer tree algebra. / Kessar, Radha; Linckelmann, Markus.

In: Quarterly Journal of Mathematics, Vol. 61, No. 3, 09.2010, p. 337-349.

Research output: Contribution to journalArticle

Kessar, Radha ; Linckelmann, Markus. / The graded center of the stable category of a Brauer tree algebra. In: Quarterly Journal of Mathematics. 2010 ; Vol. 61, No. 3. pp. 337-349.
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