IM PAN
INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
BANACH CENTER
PUBLICATIONS
ISSN: 0137-6934(p) 1730-6299(e)
 
Singular Poisson–Kähler geometry of certain adjoint quotients
Johannes Huebschmann1
Banach Center Publ. 76 (2007), 325-347
Abstract: 
The K\"ahler quotient of a complex reductive Lie group
relative to the conjugation action carries a complex algebraic
stratified K\"ahler structure which reflects the geometry of the
group. For the group ${\rm SL}(n,\mathbb C)$, we interpret the
resulting singular Poisson-K\"ahler geometry of the quotient in
terms of complex discriminant varieties and variants thereof.

MSC (2000): Primary 17B63, 17B65, 17B66, 17B81, 53D17, 53D20, 55R80; Secondary 14L24, 16W22, 32S60, 70H45.
  1. Université des Sciences et Technologies de Lille
    UFR de Mathématiques
    CNRS-UMR 8524
    59655 Villeneuve D'Ascq Cedex, France
    and
    Institute for Theoretical Physics
    Universität Leipzig
    Augustusplatz 10/11,
    04109 Leipzig, Germany