TY - BOOK ID - 46154938 TI - Lie Groups, Geometry, and Representation Theory : A Tribute to the Life and Work of Bertram Kostant AU - Kac, Victor G. AU - Popov, Vladimir L. PY - 2018 SN - 3030021912 3030021904 PB - Cham : Springer International Publishing : Imprint: Birkhäuser, DB - UniCat KW - Lie groups. KW - Lie algebras. KW - Representations of groups. KW - Group representation (Mathematics) KW - Groups, Representation theory of KW - Group theory KW - Algebras, Lie KW - Algebra, Abstract KW - Algebras, Linear KW - Lie groups KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups KW - Topological Groups. KW - Group theory. KW - Global differential geometry. KW - Topological Groups, Lie Groups. KW - Group Theory and Generalizations. KW - Differential Geometry. KW - Polytopes. KW - Geometry, Differential KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Algebra KW - Groups, Topological KW - Continuous groups KW - Topological groups. KW - Differential geometry. KW - Hyperspace KW - Topology KW - Differential geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:46154938 AB - This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. 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). ER -