Primitive ideals, non-restricted representations and finite W-algebras
Representation Theory
2007-05-23 v2 Quantum Algebra
Abstract
We prove that all finite W-algebras associated with nilpotent elements e in a complex semisimple Lie algebra g have finite-dimensional representations. In order to obtain this result we establish a connection between primitive ideals of U(g) attached to the nilpotent orbit containing e and finite-dimensional representations of the reduced enveloping algebra assiciated with e over an algebraically closed field of finite characteristic.
Cite
@article{arxiv.math/0612465,
title = {Primitive ideals, non-restricted representations and finite W-algebras},
author = {Alexander Premet},
journal= {arXiv preprint arXiv:math/0612465},
year = {2007}
}
Comments
19 pages, minor corrections and up-dates, the new version is accepted for publication