Transactions of the American Mathematical Society

Author(s): Rolf Farnsteiner; Andrzej Skowronski
Journal: Trans. Amer. Math. Soc. 359 (2007), 5867-5898.
MSC (2000): Primary 16G70; Secondary 14L15, 16G20, 16G60, 16W20, 16W30, 17B50
Posted: July 20, 2007
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Abstract: Given an infinitesimal group $\mathcal{G}$ , that is defined over an algebraically closed field of characteristic $p \ge 3$ , we determine the block structure of the algebra of measures $H(\mathcal{G})$ in case its principal block $\mathcal{B}_0(\mathcal{G})$ is tame and the height of the factor group $\mathcal{G}/\mathcal{M}(\mathcal{G})$ of $\mathcal{G}$ by its multiplicative center $\mathcal{M}(\mathcal{G})$ is at least two. Our results yield a complete description of the stable Auslander-Reiten quiver of $H(\mathcal{G})$ along with a criterion for the domesticity of $H(\mathcal{G})$ .

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Rolf Farnsteiner
Affiliation: Fakultät für Mathematik, Universität Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany
Email: rolf@mathematik.uni-bielefeld.de

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