Support Varieties, AR-Components, and Good Filtrations

Rolf Farnsteiner; Gerhard Roehrle

Support Varieties, AR-Components, and Good Filtrations

Representation Theory 2009-09-21 v3

Authors: Rolf Farnsteiner , Gerhard Roehrle

Abstract

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.

Keywords

module theory

Cite

@article{arxiv.math/0703368,
  title  = {Support Varieties, AR-Components, and Good Filtrations},
  author = {Rolf Farnsteiner and Gerhard Roehrle},
  journal= {arXiv preprint arXiv:math/0703368},
  year   = {2009}
}

Comments

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

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