Publication

Quasi-hereditary property of double Burnside algebras

Baptiste Thierry Pierre Rognerud
2015
Journal Articles

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/24b3063a-e9a9-4759-bab9-4b595f86d7b7

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Quasi-hereditary property of double Burnside algebras

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