Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups / Vladimir K. Dobrev.

By:

Dobrev, V. K [author.]

Material type: Text

TextSeries: De Gruyter studies in mathematical physics ; Volume 35.Publisher: Berlin [Germany] ; Boston [Massachusetts] : De Gruyter, 2016Copyright date: ©2016Description: 1 online resource (422 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

3110427648
9783110427646
9783110427653
3110427656

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Invariant differential operators. Volume 1, Noncompact semisimple lie algebras and groups.DDC classification:

512.55 23

LOC classification:

QA252.3

Online resources:

Click here to access online

Contents:

Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Lie Algebras and Groups -- 3. Real Semisimple Lie Algebras -- 4. Invariant Differential Operators -- 5. Case of the Anti-de Sitter Group -- 6. Conformal Case in 4D -- 7. Kazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations -- 8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras -- 9. Multilinear Invariant Differential Operators from New Generalized Verma Modules -- Bibliography -- Author Index -- Subject Index -- Backmatter

Summary: 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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Includes bibliographical references and indexes.

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.

In English.

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