# Singular Poisson-Kähler geometry of certain adjoint quotients

Banach Center Publications (2007)

- Volume: 76, Issue: 1, page 325-347
- ISSN: 0137-6934

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topJohannes Huebschmann. "Singular Poisson-Kähler geometry of certain adjoint quotients." Banach Center Publications 76.1 (2007): 325-347. <http://eudml.org/doc/281630>.

@article{JohannesHuebschmann2007,

abstract = {The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.},

author = {Johannes Huebschmann},

journal = {Banach Center Publications},

keywords = {stratified symplectic space; complex analytic space; complex algebraic space; real semialgebraic space; complex analytic stratified Kähler space; complex algebraic stratified Kähler space; Kähler reduction; constrained system; invariant theory; adjoint quotient; discriminant variety; spherical pendulum},

language = {eng},

number = {1},

pages = {325-347},

title = {Singular Poisson-Kähler geometry of certain adjoint quotients},

url = {http://eudml.org/doc/281630},

volume = {76},

year = {2007},

}

TY - JOUR

AU - Johannes Huebschmann

TI - Singular Poisson-Kähler geometry of certain adjoint quotients

JO - Banach Center Publications

PY - 2007

VL - 76

IS - 1

SP - 325

EP - 347

AB - The Kähler quotient of a complex reductive Lie group relative to the conjugation action carries a complex algebraic stratified Kähler structure which reflects the geometry of the group. For the group SL(n,ℂ), we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.

LA - eng

KW - stratified symplectic space; complex analytic space; complex algebraic space; real semialgebraic space; complex analytic stratified Kähler space; complex algebraic stratified Kähler space; Kähler reduction; constrained system; invariant theory; adjoint quotient; discriminant variety; spherical pendulum

UR - http://eudml.org/doc/281630

ER -

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