Lie Groups, Geometry, and Representation Theory
Springer International Publishing (Verlag)
978-3-030-02190-0 (ISBN)
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 th-groups (V. L. Popov)
- Distributions on homogeneous spaces (N. Ressayre)
- Reduction of orthogonal representations (J.-P. Serre)
Anthony Joseph, A Tribute to Bertram Kostant.- Anton Alekseev, Arkady Berenstein, Benjamin Hoffman, Yanpeng Li, Poisson Structures and Potentials.- Tomoyuki Arakawa, Kazuya Kawasetsu, Quasi-lisse Vertex Algebras and Modular Linear Differential Equations.- Roman Bezrukavnikov, Ivan Losev, On Dimension Growth of Modular Irreducible Representations of Semisimple Lie Algebras.- Alexander Braverman, David Kazhdan, Remarks on the Asymptotic Hecke Algebra.- Alexei Davydov, Pavel Etingof, Dmitri Nikshych, Autoequivalences of Tensor Categories Attached to Quantum Groups at Roots of 1.- Victor Ginzburg, Nil-Hecke Algebras and Whittaker $mathscr{D}$-Modules.- V. Guillemin, A. Uribe, Z. Wang, Spectral Properties of Semi-classical Toeplitz Operators.- Anthony Joseph, Dual Kashiwara Functions for the $B(infty)$ Crystal.- Victor G. Kac, Minoru Wakimoto, On Characters of Irreducible Highest Weight Modules of Negative Integer Level over Affine Lie Algebras.- Thomas Lam, Alexander Postnikov, Alcoved Polytopes II.- Ivan Losev, Representation Theory of Quantized Gieseker Varieties, I.- Jiang-Hua Lu, Yipeng Mi, Generalized Bruhat Cells and Completeness of Hamiltonian Flows of Kogan-Zelevinsky Integrable Systems.- G. Lusztig, On the Definition of Almost Characters.- Eckhard Meinrenken, Verlinde Formulas for Nonsimply Connected Groups.- Paul-Émile Paradan, Michèle Vergne, Equivariant Index of Twisted Dirac Operations and Semi-classical Limits.- Vladimir L. Popov, Modality of Representations and Packets for $theta$-Groups.- N. Ressayre, Distributions on Homogeneous Spaces and Applications.- Jean-Pierre Serre, On the mod p reduction of orthogonal representations.
| Erscheinungsdatum | 18.12.2018 |
|---|---|
| Reihe/Serie | Progress in Mathematics |
| Zusatzinfo | XII, 540 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 985 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Schlagworte | Amtisur-Levitski identity • Bert Kostant • Bertram Kostant • Grassmann algebra • Hochschild homology • Hochschild-Kostant-Rosenberg isomorphism • Jacobson-Morozov theorem • Kac-Moody algebra • Kostant separation theorem • Lie algebra • Lie groups • Nilpotent orbit • Orbit method • Representation Theory • transformation groups • Weyl Group • Whittaker modules |
| ISBN-10 | 3-030-02190-4 / 3030021904 |
| ISBN-13 | 978-3-030-02190-0 / 9783030021900 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
aus dem Bereich
