Stratifying the derived category of cochains on BG for G a compact Lie group

David Benson, John Greenlees

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The main purpose of this paper is to classify the localising subcategories of the derived category View the MathML source where G is a compact Lie group and k is a field. We also prove a version of Chouinard’s theorem for View the MathML source, we describe the relationship between induction and coinduction for a closed subgroup of G, and we use this to describe the relationship between Hochschild homology and cohomology of C∗(BG;k).
Original languageEnglish
Pages (from-to)642-650
Number of pages9
JournalJournal of Pure and Applied Algebra
Volume218
Issue number4
Early online date23 Aug 2013
DOIs
Publication statusPublished - Apr 2014

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Derived Category
Compact Lie Group
Coinduction
Hochschild Homology
Hochschild Cohomology
Proof by induction
Classify
Subgroup
Closed
Theorem
Relationships

Cite this

Stratifying the derived category of cochains on BG for G a compact Lie group. / Benson, David; Greenlees, John.

In: Journal of Pure and Applied Algebra, Vol. 218, No. 4, 04.2014, p. 642-650.

Research output: Contribution to journalArticle

Benson, David ; Greenlees, John. / Stratifying the derived category of cochains on BG for G a compact Lie group. In: Journal of Pure and Applied Algebra. 2014 ; Vol. 218, No. 4. pp. 642-650.
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