03438nam 2200613 450 991046760790332120200917021826.03-11-042765-63-11-042780-X10.1515/9783110427646(CKB)4230000000000309(MiAaPQ)EBC4691437(DE-B1597)452075(OCoLC)960014236(OCoLC)999366704(DE-B1597)9783110427646(Au-PeEL)EBL4691437(CaPaEBR)ebr11268066(CaONFJC)MIL956125(OCoLC)959150635(EXLCZ)99423000000000030920161010h20162016 uy 0engurcnu||||||||rdacontentrdamediardacarrierInvariant differential operatorsVolume 1Noncompact semisimple lie algebras and groups /Vladimir K. DobrevBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2016.©20161 online resource (422 pages) illustrationsDe Gruyter Studies in Mathematical Physics,2194-3532 ;Volume 353-11-043542-X 3-11-042764-8 Includes bibliographical references and indexes.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 -- BackmatterWith 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 De Gruyter studies in mathematical physics ;Volume 35.Lie algebrasLie groupsDifferential invariantsElectronic books.Lie algebras.Lie groups.Differential invariants.512.55Dobrev Vladimir K.869392MiAaPQMiAaPQMiAaPQBOOK9910467607903321Invariant differential operators1941004UNINA