Quiver algebras, weighted projective lines, and the Deligne-Simpson problem

Details Quiver algebras, weighted projective lines, and the Deligne-Simpson problem Quiver algebras, weighted projective lines, and the Deligne-Simpson problem

2006-04-12

arxiv.org/abs/math/0604273v1

Mathematics

Rings and Algebras

To appear in Proceedings of ICM 2006 Madrid (11 pages)

Scientific paper

We describe recent work on preprojective algebras and moduli spaces of their representations. We give an analogue of Kac's Theorem, characterizing the dimension types of indecomposable coherent sheaves over weighted projective lines in terms of loop algebras of Kac-Moody Lie algebras, and explain how it is proved using Hall algebras. We discuss applications to the problem of describing the possible conjugacy classes of sums and products of matrices in known conjugacy classes.

Affiliated with

Also associated with

No associations

Rating

Quiver algebras, weighted projective lines, and the Deligne-Simpson problem 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 Quiver algebras, weighted projective lines, and the Deligne-Simpson problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quiver algebras, weighted projective lines, and the Deligne-Simpson problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225496