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Lie Theory and Geometry Jean-Luc Brylinski

Lie Theory and Geometry By Jean-Luc Brylinski

Lie Theory and Geometry by Jean-Luc Brylinski

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Summary

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.

Lie Theory and Geometry Summary

Lie Theory and Geometry: In Honor of Bertram Kostant by Jean-Luc Brylinski

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.

Lie Theory and Geometry 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.

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 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.

Additional information

NPB9780817637613
9780817637613
0817637613
Lie Theory and Geometry: In Honor of Bertram Kostant by Jean-Luc Brylinski
Jean-Luc Brylinski
Progress in Mathematics
New
Hardback
Birkhauser Boston Inc
1994-11-01
596
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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