Overview

This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant's fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant's work.

Full Product Details

Author:   Jean-Luc Brylinski ,  Ranee Brylinski ,  Victor Guillemin ,  Victor Kac
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1994
Volume:   123
Dimensions:   Width: 15.50cm , Height: 3.20cm , Length: 23.50cm
Weight:   0.973kg
ISBN:  

9781461266853

ISBN 10:   1461266858
Pages:   596
Publication Date:   12 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of 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 Teichmüller Group.- Differential Operators on Conical Lagrangian Manifolds.- Groups and the Buckyball.- Spinor and Oscillator Representations of Quantum Groups.- Familles cohérentes 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.

Reviews

[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.

"""[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."

[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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