A conjectural generalization of n! result to arbitrary groups
Algebraic Geometry
2007-05-23 v2 Representation Theory
Abstract
We relate the n! conjecture (by Garsia and Haiman) to the geometry of principal nilpotent pairs, and state a conjecture generalizing the n! conjecture to arbitrary semisimple algebraic groups. We also show, using Borel's fixed point theorem, how to reduce the n! conjecture to staircase partitions. Finally we study the interplay between characteristic p and the n! conjecture for box partitions.
Cite
@article{arxiv.math/0201205,
title = {A conjectural generalization of n! result to arbitrary groups},
author = {Shrawan Kumar and Jesper Funch Thomsen},
journal= {arXiv preprint arXiv:math/0201205},
year = {2007}
}
Comments
Main conjectures has changed, 28 pages