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Progress in Mathematics
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Progress in Mathematics: A Tribute to the Life and Work of Bertram Kostant

Progress in Mathematics: A Tribute to the Life and Work of Bertram Kostant

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Progress in Mathematics: A Tribute to the Life and Work of Bertram Kostant

Kac, Victor G.; Popov, Vladimir L.

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)

Details

Published by: Birkhäuser

Publication Date: 2018-12-29

Format: Hardcover

ISBN-13: 9783030021900

DOI: 10.1007/978-3-030-02191-7

Dimensions: 235cm x155cm

Pages: 540

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