Coverart for item
The Resource Lie Groups, Geometry, and Representation Theory : A Tribute to the Life and Work of Bertram Kostant, edited by Victor G. Kac, Vladimir L. Popov, (electronic resource)

Lie Groups, Geometry, and Representation Theory : A Tribute to the Life and Work of Bertram Kostant, edited by Victor G. Kac, Vladimir L. Popov, (electronic resource)

Label
Lie Groups, Geometry, and Representation Theory : A Tribute to the Life and Work of Bertram Kostant
Title
Lie Groups, Geometry, and Representation Theory
Title remainder
A Tribute to the Life and Work of Bertram Kostant
Statement of responsibility
edited by Victor G. Kac, Vladimir L. Popov
Contributor
Editor
Subject
Language
eng
Summary
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).--
Member of
Assigning source
Provided by publisher
Dewey number
512.55
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Kac, Victor G
  • Popov, Vladimir L
Series statement
  • Springer eBooks
  • Springer eBooks.
  • Progress in Mathematics,
Series volume
326
http://library.link/vocab/subjectName
  • Global differential geometry
  • Group theory
  • Topological Groups
Label
Lie Groups, Geometry, and Representation Theory : A Tribute to the Life and Work of Bertram Kostant, edited by Victor G. Kac, Vladimir L. Popov, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-02191-7
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-030-02191-7
Dimensions
unknown
Extent
1 online resource (XII, 540 pages)
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030021917
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)1080075415
Label
Lie Groups, Geometry, and Representation Theory : A Tribute to the Life and Work of Bertram Kostant, edited by Victor G. Kac, Vladimir L. Popov, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-02191-7
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-030-02191-7
Dimensions
unknown
Extent
1 online resource (XII, 540 pages)
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783030021917
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
(OCoLC)1080075415

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