On the number of subrepresentations of a general quiver representation
Algebraic Geometry
2007-05-23 v2
Abstract
It is well-known that the intersection multiplicities of Schubert classes in the Grassmanian are Littlewood-Richardson coefficients. We generalize this statement in the context of quiver representations. Here the intersection multiplicity of Schubert classes is replaced by the number of subrepresentations of a general quiver reprsentation, and the Littlewood-Richardson coefficients are replaced by the the dimension of a certain space of semiinvariants.
Keywords
Cite
@article{arxiv.math/0507393,
title = {On the number of subrepresentations of a general quiver representation},
author = {Harm Derksen and Aidan Schofield and Jerzy Weyman},
journal= {arXiv preprint arXiv:math/0507393},
year = {2007}
}
Comments
15 pages, new section on good filtrations