Lie theory and geometry : in honor of Bertram Kostant
著者
書誌事項
Lie theory and geometry : in honor of Bertram Kostant
（Progress in mathematics, vol. 123）
Birkhäuser, c1994
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- : sz
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注記
Published works of Bertram Kostant: p. [xxxix]-xliii. Includes bibliographical references
Invited papers, some originated at a symposium in honor of Kostant at MIT in May, 1993
内容説明・目次
- 巻冊次
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: us ISBN 9780817637613
内容説明
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.
目次
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.
- 巻冊次
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: sz ISBN 9783764337612
内容説明
This volume, dedicated to Kostant on his 65th birthday, is a collection of 22 papers by international leaders in the fields of Lie theory, geometry, algebra and math physics. The papers broadly reflect the range of Kostant's work.
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