A conjectural generalization of n! result to arbitrary groups

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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.
Main conjectures has changed, 28 pages

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Algebraic Geometry, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/63172

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201205
 http://arxiv.org/abs/math/0201205

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arXiv