Ebook: Lie Theory and Geometry: In Honor of Bertram Kostant
- Tags: Topological Groups Lie Groups, Algebraic Geometry, Algebra, Geometry
- Series: Progress in Mathematics 123
- Year: 1994
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xliii
Normality of Some Nilpotent Varieties and Cohomology of Line Bundles on the Cotangent Bundle of the Flag Variety....Pages 1-19
Holomorphic Quantization and Unitary Representations of the Teichm?ller Group....Pages 21-64
Differential Operators on Conical Lagrangian Manifolds....Pages 65-96
Groups and the Buckyball....Pages 97-126
Spinor and Oscillator Representations of Quantum Groups....Pages 127-165
Familles coh?rentes sur les groupes de Lie semi-simples et restriction aux sous-groupes compacts maximaux....Pages 167-215
The Differential Geometry of Fedosov’s Quantization....Pages 217-239
Closedness of Star Products and Cohomologies....Pages 241-259
The Algebra of Chern—Simons Classes, the Poisson Bracket on it, and the Action of the Gauge Group....Pages 261-288
A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4....Pages 289-304
Reduced Phase Spaces and Riemann-Roch....Pages 305-334
The Invariants of Degree up to 6 of all n-ary m-ics....Pages 335-348
Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories....Pages 349-383
Enveloping Algebras: Problems Old and New....Pages 385-413
Integrable Highest Weight Modules over Affine Superalgebras and Number Theory....Pages 415-456
Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups....Pages 457-488
Meromorphic Monoidal Structures....Pages 489-495
The Nil Hecke Ring and Singularity of Schubert Varieties....Pages 497-507
Some Classical and Quantum Algebras....Pages 509-529
Total Positivity in Reductive Groups....Pages 531-568
The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space....Pages 569-576
Compact Subvarieties in Flag Domains....Pages 577-596
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.
Content:
Front Matter....Pages i-xliii
Normality of Some Nilpotent Varieties and Cohomology of Line Bundles on the Cotangent Bundle of the Flag Variety....Pages 1-19
Holomorphic Quantization and Unitary Representations of the Teichm?ller Group....Pages 21-64
Differential Operators on Conical Lagrangian Manifolds....Pages 65-96
Groups and the Buckyball....Pages 97-126
Spinor and Oscillator Representations of Quantum Groups....Pages 127-165
Familles coh?rentes sur les groupes de Lie semi-simples et restriction aux sous-groupes compacts maximaux....Pages 167-215
The Differential Geometry of Fedosov’s Quantization....Pages 217-239
Closedness of Star Products and Cohomologies....Pages 241-259
The Algebra of Chern—Simons Classes, the Poisson Bracket on it, and the Action of the Gauge Group....Pages 261-288
A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4....Pages 289-304
Reduced Phase Spaces and Riemann-Roch....Pages 305-334
The Invariants of Degree up to 6 of all n-ary m-ics....Pages 335-348
Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories....Pages 349-383
Enveloping Algebras: Problems Old and New....Pages 385-413
Integrable Highest Weight Modules over Affine Superalgebras and Number Theory....Pages 415-456
Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups....Pages 457-488
Meromorphic Monoidal Structures....Pages 489-495
The Nil Hecke Ring and Singularity of Schubert Varieties....Pages 497-507
Some Classical and Quantum Algebras....Pages 509-529
Total Positivity in Reductive Groups....Pages 531-568
The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space....Pages 569-576
Compact Subvarieties in Flag Domains....Pages 577-596
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