Overview
- Celebrates one of the 20th century’s most significant mathematicians
- Explores recent advances in topics that Kostant fundamentally influenced
- Equips readers with an understanding of various subjects within Lie algebra and representation theory
Part of the book series: Progress in Mathematics (PM, volume 326)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (18 chapters)
Keywords
- Bertram Kostant
- Transformation groups
- Lie groups
- Representation theory
- Bert Kostant
- Kac-Moody algebra
- Jacobson-Morozov theorem
- Amtisur-Levitski identity
- Hochschild-Kostant-Rosenberg isomorphism
- Hochschild homology
- Weyl group
- Kostant separation theorem
- Lie algebra
- Representation theory
- Whittaker modules
- Orbit method
- Grassmann algebra
- Nilpotent orbit
About this book
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)
Editors and Affiliations
Bibliographic Information
Book Title: Lie Groups, Geometry, and Representation Theory
Book Subtitle: A Tribute to the Life and Work of Bertram Kostant
Editors: Victor G. Kac, Vladimir L. Popov
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-030-02191-7
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-02190-0Published: 29 December 2018
eBook ISBN: 978-3-030-02191-7Published: 12 December 2018
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XII, 540
Topics: Topological Groups, Lie Groups, Group Theory and Generalizations, Differential Geometry, Polytopes