Singular Poisson-Kaehler geometry of certain adjoint quotients

Details Singular Poisson-Kaehler geometry of certain adjoint quotients Singular Poisson-Kaehler geometry of certain adjoint quotients

2006-10-20

arxiv.org/abs/math/0610614v1

Banach Center Publ. 76 (2007), 325-347

Mathematics

Symplectic Geometry

27 pages

Scientific paper

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.

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