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Exceptional sequences
and spherical modules for the Auslander algebra of
$\boldsymbol k[x]/(x^t)$
Lutz Hille and David Ploog |
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Vol. 302 (2019), No. 2, 599–625
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Abstract |
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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. |
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Keywords
Auslander algebra, full exceptional sequence, exceptional
module, spherical module
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Mathematical Subject Classification 2010
Primary: 16D90
Secondary: 16G20, 16S38, 18E30
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Milestones
Received: 23 September 2017
Revised: 1 October 2018
Accepted: 4 December 2018
Published: 27 November 2019
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Authors |
| Lutz Hille | |
| Mathematisches Institut Universität Münster Münster Germany |
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| David Ploog | |
| Freie Universität Berlin Berlin Germany |
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