The nilpotent variety and invariant polynomial functions in the Hamiltonian algebra
Representation Theory
2014-01-28 v1
Abstract
Premet has conjectured that the nilpotent variety of any finite-dimensional restricted Lie algebra is an irreducible variety. In this paper, we prove this conjecture in the case of Hamiltonian Lie algebra. and show that its nilpotent variety is normal and a complete intersection. In addition, we generalize the Chevalley Restriction theorem to Hamiltonian Lie algebra. Accordingly, we give the generators of the invariant polynomial ring.
Keywords
Cite
@article{arxiv.1401.6532,
title = {The nilpotent variety and invariant polynomial functions in the Hamiltonian algebra},
author = {Junyan Wei},
journal= {arXiv preprint arXiv:1401.6532},
year = {2014}
}
Comments
13 pages