Given two orientations $Q, Q'$ of a Dyinkin diagram. Is it always true that after a sequence of mutations, $Q$ becomes $Q'$? Are the some references about this? Thank you very much.
$\begingroup$
$\endgroup$
1
asked Aug 31, 2016 at 7:05
-
4$\begingroup$ Maybe you should rather read carefully the original articles of Fomin and Zelevinsky, and come back here later. $\endgroup$– F. C.Commented Aug 31, 2016 at 7:28
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
Yes, it's true for any two acyclic quivers with the same underlying diagram having different orientations. See lectures notes on cluster algebras by Robert Marsh.
