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 calculations presented here may also be considered as a categorification of results concerning non-crossing partitions. 
Mustafa A. A. Obaid, S. Khalid Nauman, Wafaa M. Fakieh, Claus Michael   Ringel
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