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Other titles in the Progress in Mathematics series:
Progress in Mathematics #0123: Lie Theory and Geometryby J. L. Brylinski
Synopses & ReviewsPublisher Comments: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.
Book News Annotation: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. The papers gathered include original research articles as well as expository papers broadly reflecting the range of Kostant's work. Some of the papers originated in talks given at a symposium in honor of Kostant at MIT in May 1993. An extended preface gives an overview of Kostant's work to date.
Annotation c. Book News, Inc., Portland, OR (booknews.com) Synopsis:This volume is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Bertram Kostant's work.
Table of ContentsPreface.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 Tecichmüller Group.Differential Operators on Conical Lagrangian Manifolds.Groups and Buckyball.Spinor and Oscillator Representations of Quantum Groups.Famillles Cohérentes sur les Groupes de Lie Semisimples et Restriction aux Sousgroupes Compacts Maximaux.The Differntail Geometry of Fedosov's Quantization.Closedness of Star Products and Cohomologies.The Algebra of ChernSimons 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 RiemannRoch.The Invariants of Degree up to 6 of all nary mics.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.QuasiEquivariant DModules, 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.
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Science and Mathematics » Mathematics » Algebra » Lie Groups and Algebra


