Support Varieties, AR-Components, and Good Filtrations

Details Support Varieties, AR-Components, and Good Filtrations Support Varieties, AR-Components, and Good Filtrations

2007-03-13

arxiv.org/abs/math/0703368v3

Mathematics

Representation Theory

33 pages; revised version; to appear in Math. Z

Scientific paper

In continuation of work begun in \cite{FR}, we study in this article those
Auslander--Reiten components of the algebras $\Dist(G_r)$ that contain simple
modules or baby Verma modules, where $\Dist(G_r)$ is the algebra of
distributions of the $r$-th Frobenius kernel of the smooth reductive group $G$,
defined over an algebraically closed field of positive characteristic.

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