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Lie Groups, Geometry, and Representation Theory
A Tribute to the Life and Work of Bertram Kostant
Victor G. Kac , Vladimir L. Popov
This volume features the only published articles of important recent results of the contributors with full details of their proofs. Key topics include:
- Poisson structures and potentials (A. Alekseev, A. Berenstein, B. Hoffman)
- Vertex algebras (T. Arakawa, K. Kawasetsu)
- Modular irreducible representations of semisimple Lie algebras (R. Bezrukavnikov, I. Losev)
- Asymptotic Hecke algebras (A. Braverman, D. Kazhdan)
- Tensor categories and quantum groups (A. Davydov, P. Etingof, D. Nikshych)
- Nil-Hecke algebras and Whittaker D-modules (V. Ginzburg)
- Toeplitz operators (V. Guillemin, A. Uribe, Z. Wang)
- Kashiwara crystals (A. Joseph)
- Characters of highest weight modules (V. Kac, M. Wakimoto)
- Alcove polytopes (T. Lam, A. Postnikov)
- Representation theory of quantized Gieseker varieties (I. Losev)
- Generalized Bruhat cells and integrable systems (J.-H. Liu, Y. Mi)
- Almost characters (G. Lusztig)
- Verlinde formulas (E. Meinrenken)
- Dirac operator and equivariant index (P.-É. Paradan, M. Vergne)
- Modality of representations and geometry of θ-groups (V. L. Popov)
- Distributions on homogeneous spaces (N. Ressayre)
- Reduction of orthogonal representations (J.-P. Serre)
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