Lie Theory and Geometry

Chapter 1 Normality of Some Nilpotent Varieties and Cohomology of Line Bundles on the Cotangent Bundle of the Flag Variety

Chapter 2 Holomorphic Quantization and Unitary Representations of the Teichmüller Group

Chapter 3 Differential Operators on Conical Lagrangian Manifolds

Chapter 4 Groups and the Buckyball

Chapter 5 Spinor and Oscillator Representations of Quantum Groups

Chapter 6 Familles cohérentes sur les groupes de Lie semi-simples et restriction aux sous-groupes compacts maximaux

Chapter 7 The Differential Geometry of Fedosov’s Quantization

Chapter 8 Closedness of Star Products and Cohomologies

Chapter 9 The Algebra of Chern—Simons Classes, the Poisson Bracket on it, and the Action of the Gauge Group

Chapter 10 A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4

Chapter 11 Reduced Phase Spaces and Riemann-Roch

Chapter 12 The Invariants of Degree up to 6 of all n -ary m -ics

Chapter 13 Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories

Chapter 14 Enveloping Algebras: Problems Old and New

Chapter 15 Integrable Highest Weight Modules over Affine Superalgebras and Number Theory

Chapter 16 Quasi-Equivariant D -Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups

Chapter 17 Meromorphic Monoidal Structures

Chapter 18 The Nil Hecke Ring and Singularity of Schubert Varieties

Chapter 19 Some Classical and Quantum Algebras

Chapter 20 Total Positivity in Reductive Groups

Chapter 21 The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space

Chapter 22 Compact Subvarieties in Flag Domains