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research article
Quasi-hereditary property of double Burnside algebras
In this short note, we investigate some consequences of the vanishing of simple biset functors. As a corollary, if there is no non-trivial vanishing of simple biset functors (e.g., if the group G is commutative), then we show that kB(G,G) is a quasi-hereditary algebra in characteristic zero. In general, this is not true without the non-vanishing condition, as over a field of characteristic zero the double Burnside algebra of the alternating group of degree 5 has infinite global dimension.
Type
research article
Web of Science ID
WOS:000358815800005
Authors
Publication date
2015
Publisher
Published in
Volume
353
Issue
8
Start page
689
End page
693
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 28, 2015
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