Open Access
July 2013 The number of arrows in the quiver of tilting modules over a path algebra of Dynkin type
Ryoichi Kase
Tsukuba J. Math. 37(1): 153-177 (July 2013). DOI: 10.21099/tkbjm/1373893409

Abstract

Happel and Unger defined a partial order on the set of basic tilting modules. The tilting quiver is the Hasse diagram of the poset of basic tilting modules. We determine the number of arrows in the tilting quiver over a path algebra of Dynkin type.

Citation

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Ryoichi Kase. "The number of arrows in the quiver of tilting modules over a path algebra of Dynkin type." Tsukuba J. Math. 37 (1) 153 - 177, July 2013. https://doi.org/10.21099/tkbjm/1373893409

Information

Published: July 2013
First available in Project Euclid: 15 July 2013

zbMATH: 1303.16020
MathSciNet: MR3112422
Digital Object Identifier: 10.21099/tkbjm/1373893409

Subjects:
Primary: 16G20
Secondary: 16D80

Keywords: representations of Dynkin quivers , tilting modules

Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics

Vol.37 • No. 1 • July 2013
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