Mutation of Auslander generators

Details Mutation of Auslander generators Mutation of Auslander generators

2009-06-29

arxiv.org/abs/0906.5288v1

Mathematics

Representation Theory

15 pages

Scientific paper

Let $\Lambda$ be an artin algebra with representation dimension equal to three and $M$ an Auslander generator of $\Lambda$. We show how, under certain assumptions, we can mutate $M$ to get a new Auslander generator whose endomorphism ring is derived equivalent to the endomorphism ring of $M$. We apply our results to selfinjective algebras with radical cube zero of infinite representation type, where we construct an infinite set of Auslander generators.

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