Kähler spaces, nilpotent orbits, and singular reduction /

Kähler spaces, nilpotent orbits, and singular reduction /

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Bibliographic Details
Author / Creator:	Huebschmann, Johannes, 1950-
Imprint:	Providence, R.I. : American Mathematical Society, 2004.
Description:	vi. 96 p. ; 26 cm.
Language:	English
Series:	Memoirs of the American Mathematical Society, 0065-9266 ; no. 814
Subject:	Poisson manifolds. Poisson algebras. Symplectic geometry. Linear algebraic groups. Linear algebraic groups. Poisson algebras. Poisson manifolds. Symplectic geometry.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/5368591

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ISBN:	0821835726 (alk. paper) 0821835459 (alk. paper)
Notes:	"Volume 172, number 814 (third of 4 numbers)." Includes bibliographical references (p. 93-96).

Table of Contents:

Introduction
Poisson algebras and Lie-Rinehart algebras
Stratified polarized spaces
The closure of a holomorphic nilpotent orbit
Reduction and stratified Kahler spaces
Associated representations and singular reduction
Associated representations for the remaining classical case
Hermitian Jordan triple systems and pre-homogeneous spaces
The exceptional cases
Contraction of semisimple holomorphic orbits
Projectivization and exotic projective varieties
Comparison with other notions of Kahler space with singularities
References