A characterization of nilpotent orbit closures among symplectic singularities
Algebraic Geometry
2022-07-28 v5 Representation Theory
Abstract
We prove that a conical symplectic variety with maximal weight 1 is isomorphic to one of the following: (i) an affine space with the standard symplectic form (ii) a nilpotent orbit closure of a complex semisimple Lie algebra with the Kirillov-Kostant form.
Keywords
Cite
@article{arxiv.1603.06105,
title = {A characterization of nilpotent orbit closures among symplectic singularities},
author = {Yoshinori Namikawa},
journal= {arXiv preprint arXiv:1603.06105},
year = {2022}
}
Comments
Version 5: 7 pages, several parts are improved in exposition