Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra
Representation Theory
2013-09-30 v1
Abstract
I connect an old result of mine on a Lie algebra generalization of the Amitsur-Levitski theorem with equations for sheets in a reductive Lie algebra and with recent results of Kostant-Wallach on the variety of singular elements in a reductive Lie algebra.
Cite
@article{arxiv.1309.7076,
title = {Generalized Amitsur-Levitski theorem and equations for sheets in a reductive complex Lie algebra},
author = {Bertram Kostant},
journal= {arXiv preprint arXiv:1309.7076},
year = {2013}
}
Comments
17 pages, key words: Amitsur-Levitski theorem, invariant theory, polynomial identities, sheets, abelian ideals and solvable Lie algebras, representation theory, enveloping algebras, nilpotent cone, Lie algebra cohomology