Singular Poisson–Kähler geometry of certain adjoint quotients

Tom 76 / 2007

Johannes Huebschmann Banach Center Publications 76 (2007), 325-347 MSC: Primary 17B63, 17B65, 17B66, 17B81, 53D17, 53D20, 55R80; Secondary 14L24, 16W22, 32S60, 70H45. DOI: 10.4064/bc76-0-16

Streszczenie

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 ${\rm SL}(n,\mathbb C)$, we interpret the resulting singular Poisson-Kähler geometry of the quotient in terms of complex discriminant varieties and variants thereof.

Autorzy

  • Johannes HuebschmannUniversité 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
    e-mail

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