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Lie theory and geometry : In honor of Bertram Kostant. Invited papers, some originated at a symposium held at MIT in May 1993

Author: Bertram Kostant; Jean-Luc Brylinski
Publisher: Basel : Birkhäuser, 1994
Series: Progress in mathematics, 123
Edition/Format:   Book : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:

A collection of 22 invited papers by some of the leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. It gathers papers that present research articles as well as  Read more...

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Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Bertram Kostant; Jean-Luc Brylinski
ISBN: 3764337613 9783764337612
OCLC Number: 471764122
Description: 43 + 596 sider
Contents: Normality of Some Nilpotent Varieties and Cohomology of Line Bundles on the Cotangent Bundle of the Flag Variety.- Holomorphic Quantization and Unitary Representations of the Teichmuller Group.- Differential Operators on Conical Lagrangian Manifolds.- Groups and the Buckyball.- Spinor and Oscillator Representations of Quantum Groups.- Familles coherentes sur les groupes de Lie semi-simples et restriction aux sous-groupes compacts maximaux.- The Differential Geometry of Fedosov's Quantization.- Closedness of Star Products and Cohomologies.- The Algebra of Chern-Simons Classes, the Poisson Bracket on it and the Action of the Gauge Group.- A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4.- Reduced Phase Spaces and Riemann-Roch.- The Invariants of Degree up to 6 of all n-ary m-ics.- Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories.- Enveloping Algebras: Problems Old and New.- Integrable Highest Weight Modules Over Affine Superalgebras and Number Theory.- Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups.- Meromorphic Monoidal Structures.- The Nil Hecke Ring and Singularity of Schubert Varieties.- Some Classical and Quantum Algebras.- Total Positivity in Reductive Groups.- The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space.- Compact Subvarieties in Flag Domains.
Series Title: Progress in mathematics, 123
Responsibility: Edited by Jean-Luc Brylinski a.o.

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"[The papers] are of high interest and high quality and make this volume one of the most interesting and coherent collective publications this reviewer has ever seen." -Int. Math. Nach.

 
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