Quivers, long exact sequences and Horn type inequalities
Representation Theory
2007-05-23 v3 Combinatorics
Abstract
We give necessary and sufficient inequalities for the existence of long exact sequences of m finite abelian p-groups with fixed isomorphy types. This problem is related to some generalized Littlewood-Richardson coefficients that we define in this paper. We also show how this problem is related to eigenvalues of Hermitian matrices satisfying certain (in)equalities. When m=3, we recover the Horn type inequalities that solve the saturation conjecture for Littlewood-Richardson coefficients and Horn's conjecture.
Cite
@article{arxiv.math/0410423,
title = {Quivers, long exact sequences and Horn type inequalities},
author = {Calin Chindris},
journal= {arXiv preprint arXiv:math/0410423},
year = {2007}
}
Comments
29 pages