On the graded center of the stable category of a finite $p$-group

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dc.creatorLinckelmann, Markus
dc.creatorStancu, Radu
dc.date2008-11-27
dc.date.accessioned2026-07-07T12:06:16Z
dc.date.available2026-07-07T12:06:16Z
dc.descriptionWe show that for any finite $p$-group $P$ of rank at least 2 and any algebraically closed field $k$ of characteristic $p$ the graded center $Z^*(\modbar(kP))$ of the stable module category of finite-dimensional $kP$-modules has infinite dimension in each odd degree, and if $p=2$ also in each even degree. In particular, this provides examples of symmetric algebras $A$ for which $Z^0(\modbar(A))$ is not finite-dimensional, answering a question raised in [10]
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0811.4626
dc.identifierhttp://arxiv.org/abs/0811.4626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208602
dc.subjectRepresentation Theory
dc.subjectCategory Theory
dc.titleOn the graded center of the stable category of a finite $p$-group
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