%0 Journal Article
%T On the graded center of the stable category of a finite $p$-group
%A Markus Linckelmann
%A Radu Stancu
%J Mathematics
%D 2008
%I arXiv
%X We 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]
%U http://arxiv.org/abs/0811.4626v1