Singular Poisson-Kähler geometry of certain adjoint quotients

• Autorzy: Johannes Huebschmann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 70H45: Constrained dynamics, Dirac's theory of constraints
• 17B66: Lie algebras of vector fields and related (super) algebras
• 16W22: Actions of groups and semigroups; invariant theory
• 17B65: Infinite-dimensional Lie (super)algebras
• 14L24: Geometric invariant theory
• 53D17: Poisson manifolds; Poisson groupoids and algebroids
• 55R80: Discriminantal varieties, configuration spaces
• 32S60: Stratifications; constructible sheaves; intersection cohomology
• 17B81: Applications to physics
• 17B63: Poisson algebras
• 53D20: Momentum maps; symplectic reduction

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 325-347

Daty

wydano

2007

Twórcy

autor

Johannes Huebschmann

• Université des Sciences et Technologies de Lille, UFR de Mathématiques, CNRS-UMR 8524, 59655 Villeneuve D'Ascq Cedex, France
• Institute for Theoretical Physics, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany

Identyfikatory

DOI

10.4064/bc76-0-16