On graded centers and block cohomology

Markus Linckelmann

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We extend the group theoretic notions of transfer and stable elements to graded centres of triangulated categories. When applied to the centre Z*(Db(B)) of the derived bounded category of a block algebra B we show that the block cohomology H*(B) is isomorphic to a quotient of a certain subalgebra of stable elements of Z*(Db(B)) by some nilpotent ideal, and that a quotient of Z*(Db(B)) by some nilpotent ideal is Noetherian over H*(B).
Original languageEnglish
Pages (from-to)489-514
Number of pages26
JournalProceedings of the Edinburgh Mathematical Society
Volume52
Issue number2
Early online date28 May 2009
DOIs
Publication statusPublished - Jun 2009

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Cohomology
Quotient
Triangulated Category
Noetherian
Subalgebra
Isomorphic
Algebra

Cite this

On graded centers and block cohomology. / Linckelmann, Markus.

In: Proceedings of the Edinburgh Mathematical Society, Vol. 52, No. 2, 06.2009, p. 489-514.

Research output: Contribution to journalArticle

Linckelmann, Markus. / On graded centers and block cohomology. In: Proceedings of the Edinburgh Mathematical Society. 2009 ; Vol. 52, No. 2. pp. 489-514.
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