Coverart for item
The Resource Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors

Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors

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
Victor G. Kac, Vladimir L. Popov, editors
Contributor
Editor
Subject
Language
eng
Member of
Cataloging source
EBLCP
Dewey number
512/.482
Index
no index present
LC call number
QA387
LC item number
.L54 2018
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1943-
http://library.link/vocab/relatedWorkOrContributorName
  • Kac, Victor G.
  • Popov, V. L.
Series statement
Progress in mathematics
Series volume
volume 326
http://library.link/vocab/subjectName
  • Lie groups
  • Representations of Lie groups
Label
Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors
Instantiates
Publication
Note
2.1 Braided tensor categories and their Picard groups
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Contents; A Tribute to Bertram Kostant; Poisson Structures and Potentials; 1 Introduction; 2 Positivity theory; 2.1 Algebraic tori and positive maps; 2.2 Tropicalization of positive maps; 2.3 Positive varieties; 3 Potentials; 4 Potentials on double Bruhat cells; 4.1 Semisimple groups; 4.2 Positive structures on double Bruhat cells; 4.3 Cluster variables on double Bruhat cells; 4.4 Weakly estimate-dominated functions on double Bruhat cells; 5 Positive Poisson varieties; 5.1 Definition of positive Poisson varieties; 5.2 Poisson algebraic groups; 5.3 The positive Poisson variety G*
  • 6 Tropicalization of Poisson structures6.1 Real forms of Poisson structures; 6.2 Real forms of positive Poisson varieties; 6.3 Partial tropicalization; 6.4 Partial tropicalization of K*; References; Quasi-lisse Vertex Algebras and Modular Linear Differential Equations; 1 Introduction; 2 Quasi-lisse vertex algebras; 3 A necessary condition for the quasi-lisse property; 4 Finiteness of ordinary representations; 5 Modular linear differential equations; 6 Examples of quasi-lisse vertex algebras; 7 The characters of affine vertex algebras associated with the Deligne exceptional series; References
  • On Dimension Growth of Modular Irreducible Representations of Semisimple Lie Algebras1 Introduction; 2 Preliminaries; 2.1 Harish-Chandra bimodules and primitive ideals; 2.2 Hecke algebras, cells, and HC-bimodules; 2.3 Localization in characteristic p; 3 Lengths; 3.1 Reduction of HC-bimodules to characteristic p; 3.2 Results on growth of lengths; 3.3 Lengths for HC-bimodules; 3.4 Lengths in characteristic p; 4 Proof of Theorem 1.1; 4.1 Proof of part (1) of Theorem 1.1; 4.2 Outline of the proof of (2) of Theorem 1.1; 4.3 Etingof's construction; 4.4 Proof of Proposition 4.2; 4.5 Degeneration map
  • 4.6 Proof of (2) of Theorem 1.15 Application to W-algebras; 5.1 Background on W-algebras; 5.2 Restriction functor for HC-bimodules; 5.3 Results on finite-dimensional irreducible W-modules; 5.4 Reduction of representations mod p; 5.5 Proof of Theorem 5.2; 5.6 Proof of Corollary 5.3; 6 Application to real variation of stability conditions; References; Remarks on the Asymptotic Hecke Algebra; 1 Introduction and statement of the results; 1.1 Notation; 1.2 Matrix Paley-Wiener theorem; 1.4 Harish-Chandra algebra; 1.5 Tempered representations; 1.7 Asymptotic Hecke algebra; 1.10 An algebraic version
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783030021917
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1080075415
  • (OCoLC)1080075415
Label
Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors
Publication
Note
2.1 Braided tensor categories and their Picard groups
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Contents; A Tribute to Bertram Kostant; Poisson Structures and Potentials; 1 Introduction; 2 Positivity theory; 2.1 Algebraic tori and positive maps; 2.2 Tropicalization of positive maps; 2.3 Positive varieties; 3 Potentials; 4 Potentials on double Bruhat cells; 4.1 Semisimple groups; 4.2 Positive structures on double Bruhat cells; 4.3 Cluster variables on double Bruhat cells; 4.4 Weakly estimate-dominated functions on double Bruhat cells; 5 Positive Poisson varieties; 5.1 Definition of positive Poisson varieties; 5.2 Poisson algebraic groups; 5.3 The positive Poisson variety G*
  • 6 Tropicalization of Poisson structures6.1 Real forms of Poisson structures; 6.2 Real forms of positive Poisson varieties; 6.3 Partial tropicalization; 6.4 Partial tropicalization of K*; References; Quasi-lisse Vertex Algebras and Modular Linear Differential Equations; 1 Introduction; 2 Quasi-lisse vertex algebras; 3 A necessary condition for the quasi-lisse property; 4 Finiteness of ordinary representations; 5 Modular linear differential equations; 6 Examples of quasi-lisse vertex algebras; 7 The characters of affine vertex algebras associated with the Deligne exceptional series; References
  • On Dimension Growth of Modular Irreducible Representations of Semisimple Lie Algebras1 Introduction; 2 Preliminaries; 2.1 Harish-Chandra bimodules and primitive ideals; 2.2 Hecke algebras, cells, and HC-bimodules; 2.3 Localization in characteristic p; 3 Lengths; 3.1 Reduction of HC-bimodules to characteristic p; 3.2 Results on growth of lengths; 3.3 Lengths for HC-bimodules; 3.4 Lengths in characteristic p; 4 Proof of Theorem 1.1; 4.1 Proof of part (1) of Theorem 1.1; 4.2 Outline of the proof of (2) of Theorem 1.1; 4.3 Etingof's construction; 4.4 Proof of Proposition 4.2; 4.5 Degeneration map
  • 4.6 Proof of (2) of Theorem 1.15 Application to W-algebras; 5.1 Background on W-algebras; 5.2 Restriction functor for HC-bimodules; 5.3 Results on finite-dimensional irreducible W-modules; 5.4 Reduction of representations mod p; 5.5 Proof of Theorem 5.2; 5.6 Proof of Corollary 5.3; 6 Application to real variation of stability conditions; References; Remarks on the Asymptotic Hecke Algebra; 1 Introduction and statement of the results; 1.1 Notation; 1.2 Matrix Paley-Wiener theorem; 1.4 Harish-Chandra algebra; 1.5 Tempered representations; 1.7 Asymptotic Hecke algebra; 1.10 An algebraic version
Dimensions
unknown
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783030021917
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1080075415
  • (OCoLC)1080075415

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