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Noncompact Semisimple Lie Algebras and Groups

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Title: Noncompact Semisimple Lie Algebras and Groups
Description: With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index
Authors: Vladimir K. Dobrev
Resource Type: eBook.
Subjects: Quantum groups, Superalgebras, Differential operators, Lie algebras, Lie groups, Differential invariants
Categories: MATHEMATICS / Functional Analysis, MATHEMATICS / Group Theory, MATHEMATICS / Mathematical Analysis, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Quantum Theory, SCIENCE / Physics / Relativity
Database: eBook Collection (EBSCOhost)
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  Data: Noncompact Semisimple Lie Algebras and Groups
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  Data: With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index
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  Data: <searchLink fieldCode="AR" term="%22Vladimir+K%2E+Dobrev%22">Vladimir K. Dobrev</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Quantum+groups%22">Quantum groups</searchLink><br /><searchLink fieldCode="DE" term="%22Superalgebras%22">Superalgebras</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+operators%22">Differential operators</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+groups%22">Lie groups</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+invariants%22">Differential invariants</searchLink>
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      – Code: 512.55
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Quantum groups
        Type: general
      – SubjectFull: Superalgebras
        Type: general
      – SubjectFull: Differential operators
        Type: general
      – SubjectFull: Lie algebras
        Type: general
      – SubjectFull: Lie groups
        Type: general
      – SubjectFull: Differential invariants
        Type: general
    Titles:
      – TitleFull: Noncompact Semisimple Lie Algebras and Groups
        Type: main
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          Name:
            NameFull: Vladimir K. Dobrev
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            NameFull: Vladimir K. Dobrev
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 18
              M: 07
              Type: profile
              Y: 2017
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            – Type: isbn-print
              Value: 9783110435429
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              Value: 9783110427646
            – Type: isbn-electronic
              Value: 9783110427653
            – Type: isbn-electronic
              Value: 9783110427806
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              Value: 00001
          Titles:
            – TitleFull: Noncompact Semisimple Lie Algebras and Groups
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