Auslander-Reiten theory of Frobenius-Lusztig kernels

Details Auslander-Reiten theory of Frobenius-Lusztig kernels Auslander-Reiten theory of Frobenius-Lusztig kernels

2012-01-25

arxiv.org/abs/1201.5303v1

Mathematics

Representation Theory

19 pages

Scientific paper

In this paper we show that the tree class of a component of the stable Auslander-Reiten quiver of a Frobenius-Lusztig kernel is one of the three infinite Dynkin diagrams. For the special case of the small quantum group we show that the periodic components are homogeneous tubes and that the non-periodic components have shape Z[A_\infty] if the component contains a module for the infinite-dimensional quantum group.

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