The number of arrows in the quiver of tilting modules over a path algebra of type $A$ and $D$

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 $D$.

arXiv comment22 pages

References in corpus (1)

• Universal derived equivalences of posets of tilting modules

Cited by in corpus (2)

• Tilting modules over duplicated algebras
• Some applications of $\tau$-tilting theory