The numbers of support-tilting modules for a Dynkin algebra

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 cal...

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Bibliographic Details
Published in:arXiv.org 2015-09
Main Authors: Obaid, Mustafa A A, S Khalid Nauman, Fakieh, Wafaa M, Ringel, Claus Michael
Format: Article
Language:English
Subjects:
Algebra
Modules
Partitions
Online Access:Get full text
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Summary: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.
ISSN:2331-8422