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
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The item Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Language
 eng
 Extent
 1 online resource
 Note
 2.1 Braided tensor categories and their Picard groups
 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 estimatedominated 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; Quasilisse Vertex Algebras and Modular Linear Differential Equations; 1 Introduction; 2 Quasilisse vertex algebras; 3 A necessary condition for the quasilisse property; 4 Finiteness of ordinary representations; 5 Modular linear differential equations; 6 Examples of quasilisse 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 HarishChandra bimodules and primitive ideals; 2.2 Hecke algebras, cells, and HCbimodules; 2.3 Localization in characteristic p; 3 Lengths; 3.1 Reduction of HCbimodules to characteristic p; 3.2 Results on growth of lengths; 3.3 Lengths for HCbimodules; 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 Walgebras; 5.1 Background on Walgebras; 5.2 Restriction functor for HCbimodules; 5.3 Results on finitedimensional irreducible Wmodules; 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 PaleyWiener theorem; 1.4 HarishChandra algebra; 1.5 Tempered representations; 1.7 Asymptotic Hecke algebra; 1.10 An algebraic version
 Isbn
 9783030021917
 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
 Language
 eng
 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
 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 estimatedominated 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; Quasilisse Vertex Algebras and Modular Linear Differential Equations; 1 Introduction; 2 Quasilisse vertex algebras; 3 A necessary condition for the quasilisse property; 4 Finiteness of ordinary representations; 5 Modular linear differential equations; 6 Examples of quasilisse 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 HarishChandra bimodules and primitive ideals; 2.2 Hecke algebras, cells, and HCbimodules; 2.3 Localization in characteristic p; 3 Lengths; 3.1 Reduction of HCbimodules to characteristic p; 3.2 Results on growth of lengths; 3.3 Lengths for HCbimodules; 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 Walgebras; 5.1 Background on Walgebras; 5.2 Restriction functor for HCbimodules; 5.3 Results on finitedimensional irreducible Wmodules; 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 PaleyWiener theorem; 1.4 HarishChandra 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
 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 estimatedominated 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; Quasilisse Vertex Algebras and Modular Linear Differential Equations; 1 Introduction; 2 Quasilisse vertex algebras; 3 A necessary condition for the quasilisse property; 4 Finiteness of ordinary representations; 5 Modular linear differential equations; 6 Examples of quasilisse 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 HarishChandra bimodules and primitive ideals; 2.2 Hecke algebras, cells, and HCbimodules; 2.3 Localization in characteristic p; 3 Lengths; 3.1 Reduction of HCbimodules to characteristic p; 3.2 Results on growth of lengths; 3.3 Lengths for HCbimodules; 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 Walgebras; 5.1 Background on Walgebras; 5.2 Restriction functor for HCbimodules; 5.3 Results on finitedimensional irreducible Wmodules; 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 PaleyWiener theorem; 1.4 HarishChandra 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Liegroupsgeometryandrepresentationtheory/XcroZJVREiM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Liegroupsgeometryandrepresentationtheory/XcroZJVREiM/">Lie groups, geometry, and representation theory : a tribute to the life and work of Bertram Kostant, Victor G. Kac, Vladimir L. Popov, editors</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>