Singular Poisson-Kähler geometry of certain adjoint quotients

Johannes Huebschmann

Banach Center Publications (2007)

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

Abstract

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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.

How to cite

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Johannes 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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