A conjectural generalization of n! result to arbitrary groups
代数几何
2007-05-23 v2 表示论
摘要
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.
引用
@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}
}
备注
Main conjectures has changed, 28 pages