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

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

2011-01-25

arxiv.org/abs/1101.4747v2

Mathematics

Representation Theory

22 pages

Scientific paper

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 $D$.

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