Lie Theory and Geometry

In Honor of Bertram Kostant

By: Jean-Luc Brylinski (Editor), Ranee Brylinski (Editor), Victor Guillemin (Editor)

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Hardcover | 1 November 1994

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644 Pages

Dimensions(cm)
24.77 x 17.15 x 3.81

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This volume, dedicated to Bertram Kostant on the occasion of his 65^th 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.

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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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Preface
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 Tecichmuller Group
Differential Operators on Conical Lagrangian Manifolds
Groups and Buckyball
Spinor and Oscillator Representations of Quantum Groups
Famillles Coherentes sur les Groupes de Lie Semi-simples et Restriction aux Sous-groupes Compacts Maximaux
The Differntail 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 Monidal 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
Table of Contents provided by Publisher. All Rights Reserved.

Lie Theory and Geometry

In Honor of Bertram Kostant

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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