Lie Theory and Geometry

"[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.

• 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 Teichmüller Group.- Differential Operators on Conical Lagrangian Manifolds.- Groups and the Buckyball.- Spinor and Oscillator Representations of Quantum Groups.- Familles cohérentes 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.