Tensor product varieties and crystals. GL case
Algebraic Geometry
2007-05-23 v2 Combinatorics
Representation Theory
Abstract
The role of Spaltenstein varieties in the tensor product for GL is explained. In particular a direct (non-combinatorial) proof of the fact that the number of irreducible components of a Spaltenstein variety is equal to a Littlewood-Richardson coefficient (i.e. certain tensor product multiplicity) is obtained.
Cite
@article{arxiv.math/0103026,
title = {Tensor product varieties and crystals. GL case},
author = {Anton Malkin},
journal= {arXiv preprint arXiv:math/0103026},
year = {2007}
}