Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$
Representation Theory
2019-11-27 v2 Algebraic Geometry
Abstract
We classify spherical modules and full exceptional sequences of modules over the Auslander algebra of . We categorify the left and right symmetric group actions on these exceptional sequences to two braid group actions: of spherical twists along simple modules, and of right mutations. In particular, every such exceptional sequence is obtained by spherical twists from a standard sequence, and likewise for right mutations.
Keywords
Cite
@article{arxiv.1709.03618,
title = {Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$},
author = {Lutz Hille and David Ploog},
journal= {arXiv preprint arXiv:1709.03618},
year = {2019}
}
Comments
19 pages, 2 full page figures, many small figures; v2: additional reference, results unchanged, fixed a formula and improved structure