Infinite dimensional Kähler manifolds /

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Bibliographic Details
Imprint:Boston : Birkhäuser Verlag, 2001.
Description:xiii, 375 p. ; 24 cm.
Language:English
Series:DMV Seminar ; Bd. 31
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4486818
Hidden Bibliographic Details
Other authors / contributors:Huckleberry, Alan T.
Wurzbacher, Tilman, 1961-
ISBN:3764366028 (alk. paper)
0817666028 (alk. paper)

MARC

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505 0 0 |t Introduction to Group Actions in Symplectic and Complex Geometry /  |r Alan Huckleberry --  |g I.  |t Finite-dimensional manifolds --  |g II.  |t Element of Lie groups and their actions --  |g III.  |t Manifolds with additional structure --  |g IV.  |t Symplectic manifolds with symmetry --  |g V.  |t Kahlerian structures on coadjoint orbits of compact groups and associated representations --  |t Infinite-dimensional Groups and their Representations /  |r Karl-Hermann Neeb --  |g I.  |t Calculus in locally convex spaces --  |g II.  |t Dual spaces of locally convex spaces --  |g III.  |t Topologies on function spaces --  |g IV.  |t Representations of infinite-dimensional groups --  |g V.  |t Generalized coherent state representations --  |t Borel-Weil Theory for Loop Groups /  |r Karl-Hermann Neeb --  |g I.  |t Compact groups --  |g II.  |t Loop groups and their central extensions --  |g III.  |t Root decompositions --  |g IV.  |t Representations of loop groups --  |g V.  |t Representations of involutive semigroups --  |g VI.  |t Borel-Weil theory --  |g VII.  |t Consequences for general representations --  |t Coadjoint Representation of Virasoro-type Lie Algebras and Differential Operators on Tensor-densities /  |r Valentin Yu. Ovsienko --  |g I.  |t Coadjoint representation of Virasoro group and Sturm-Liouville operators; Schwarzian derivative as a 1-cocycle --  |g II.  |t Projectively invariant version of the Gelfand-Fuchs cocycle and of the Schwarzian derivative --  |g III.  |t Kirillov's method of Lie superalgebras --  |g IV.  |t Invariants of coadjoint representation of the Virasoro group --  |g V.  |t Extension of the Lie algebra of first order linear differential operators on S[superscript 1] and matrix analogue of the Sturm-Liouville operator --  |g VI.  |t Geometrical definition of the Gelfand-Dickey bracket and the relation to the Moyal-Weil star-product --  |t From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques /  |r Sylvie Paycha --  |g I.  |t Renormalization techniques --  |g II.  |t The first Chern form on a class of hermitian vector bundles --  |g III.  |t The geometry of gauge orbits --  |g IV.  |t The geometry of determinant bundles --  |g V.  |t An example: the action of diffeomorphisms on complex structures --  |t Fermionic Second Quantization and the Geometry of the Restricted Grassmannian /  |r Tilmann Wurzbacher --  |g I.  |t Fermionic second quantization --  |g II.  |t Bogoliubov transformations and the Schwinger term --  |g III.  |t The restricted Grassmannian of a polarized Hilbert space --  |g IV.  |t The non-equivariant moment map of the restricted Grassmannian --  |g V.  |t The determinant line bundle on the restricted Grassmannian. 
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