Singular Poisson-Kaehler geometry of certain adjoint quotients
Symplectic Geometry
2011-11-09 v1 Mathematical Physics
math.MP
Abstract
The Kaehler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kaehler structure which reflects the geometry of the group. For the group SL(n,C), we interpret the resulting singular Poisson-Kaehler geometry of the quotient in terms of complex discriminant varieties and variants thereof.
Keywords
Cite
@article{arxiv.math/0610614,
title = {Singular Poisson-Kaehler geometry of certain adjoint quotients},
author = {Johannes Huebschmann},
journal= {arXiv preprint arXiv:math/0610614},
year = {2011}
}
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27 pages