The number of arrows in the quiver of tilting modules over a path algebra of Dynkin type.

DOI10.21099/TKBJM/1373893409zbMATH Open1303.16020arXiv1101.4747OpenAlexW2245262447MaRDI QIDQ357451

Ryoichi Kase

Publication date: 30 July 2013

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

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 type $A$ or $D$.

Full work available at URL: https://arxiv.org/abs/1101.4747

zbMATH Keywords

tilting modulespath algebrasnumbers of arrowsrepresentations of Dynkin quivers

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of quivers and partially ordered sets (16G20)

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