Extension-orthogonal components of nilpotent varieties

Details Extension-orthogonal components of nilpotent varieties Extension-orthogonal components of nilpotent varieties

2002-08-27

arxiv.org/abs/math/0208209v1

Mathematics

Representation Theory

Scientific paper

Let Q be a Dynkin quiver, and let P(Q) be the corresponding preprojective algebra. Let I be a set of pairwise different indecomposable irreducible components of varieties of P(Q)-modules such that generically there are no extensions between these components. We show that the number of elements in I is at most the number of positive roots of Q. Furthermore, we give a module theoretic interpretation of Leclerc's counterexample to a conjecture of Berenstein and Zelevinsky.

Affiliated with

Also associated with

No associations

Rating

Extension-orthogonal components of nilpotent varieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extension-orthogonal components of nilpotent varieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension-orthogonal components of nilpotent varieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-644626