Tilting modules for the Auslander algebra of $K[x]/(x^n)$

Jan Geuenich

Tilting modules for the Auslander algebra of $K[x]/(x^n)$

Representation Theory 2018-03-29 v1 Rings and Algebras

Authors: Jan Geuenich

Abstract

We construct an isomorphism between the partially ordered set of tilting modules for the Auslander algebra of $K[x]/(x^n)$ and the interval of rational permutation braids in the braid group on $n$ strands. Hence, there are only finitely many tilting modules.

Keywords

tilting modules auslander algebra rational permutation braids braid group partially ordered set

Cite

@article{arxiv.1803.10707,
  title  = {Tilting modules for the Auslander algebra of $K[x]/(x^n)$},
  author = {Jan Geuenich},
  journal= {arXiv preprint arXiv:1803.10707},
  year   = {2018}
}

Comments

16 pages

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