Representation type of Frobenius-Lusztig kernels

Details Representation type of Frobenius-Lusztig kernels Representation type of Frobenius-Lusztig kernels

2011-08-21

arxiv.org/abs/1108.4219v2

Mathematics

Representation Theory

18 pages, Comments most welcome

Scientific paper

In this article we show that almost all blocks of all Frobenius-Lusztig kernels are of wild representation type extending results of Feldvoss andWitherspoon, who proved this result for the principal block of the zeroth Frobenius-Lusztig kernel. Furthermore we verify the conjecture that there are infinitely many Auslander-Reiten components for a finite dimensional algebra of infinite representation type for selfinjective algebras whose cohomology satisfies certain finiteness conditions.

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