A combinatorial description of the Gindikin-Karpelevich formula in type A
Combinatorics
2012-02-20 v2 Representation Theory
Abstract
A combinatorial description of the crystal for finite-dimensional simple Lie algebras in terms of Young tableaux was developed by J. Hong and H. Lee. Using this description, we obtain a combinatorial rule for expressing the Gindikin-Karpelevich formula as a sum over when the underlying Lie algebra is of type A. We also interpret our description in terms of MV polytopes and irreducible components of quiver varieties.
Keywords
Cite
@article{arxiv.1106.0535,
title = {A combinatorial description of the Gindikin-Karpelevich formula in type A},
author = {Kyu-Hwan Lee and Ben Salisbury},
journal= {arXiv preprint arXiv:1106.0535},
year = {2012}
}
Comments
17 pages. Edited using comments from referees