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arXiv · 1403.5827

The numbers of support-tilting modules for a Dynkin algebra

Mustafa A. A. Obaid·S. Khalid Nauman·Wafaa M. Fakieh·Claus Michael Ringel
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Abstract

The Dynkin algebras are the hereditary artin algebras of finite representation type. The paper exhibits the number of support-tilting modules for any Dynkin algebra. Since the support-tilting modules for a Dynkin algebra correspond bijectively to the non-crossing partitions of the same type, the calculations presented here may also be considered as a categorification of results concerning non-crossing partitions.

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BibTeXRIS

Mustafa A. A. Obaid, S. Khalid Nauman, Wafaa M. Fakieh, Claus Michael Ringel. 2014-03-24. The numbers of support-tilting modules for a Dynkin algebra. https://arxiv.org/abs/1403.5827

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