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101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 10$aInvariant differential operators$hVolume 1$iNoncompact semisimple lie algebras and groups /$fVladimir K. Dobrev
210  1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2016.
210  4$d©2016
215   $a1 online resource (422 pages) $cillustrations
225 1 $aDe Gruyter Studies in Mathematical Physics,$x2194-3532 ;$vVolume 35
311   $a3-11-043542-X 
311   $a3-11-042764-8 
320   $aIncludes bibliographical references and indexes.
327   $tFrontmatter -- $tPreface -- $tContents -- $t1. Introduction -- $t2. Lie Algebras and Groups -- $t3. Real Semisimple Lie Algebras -- $t4. Invariant Differential Operators -- $t5. Case of the Anti-de Sitter Group -- $t6. Conformal Case in 4D -- $t7. Kazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations -- $t8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras -- $t9. Multilinear Invariant Differential Operators from New Generalized Verma Modules -- $tBibliography -- $tAuthor Index -- $tSubject Index -- $tBackmatter
330   $aWith applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index 
410  0$aDe Gruyter studies in mathematical physics ;$vVolume 35.
606   $aLie algebras
606   $aLie groups
606   $aDifferential invariants
608   $aElectronic books.
615  0$aLie algebras.
615  0$aLie groups.
615  0$aDifferential invariants.
676   $a512.55
700   $aDobrev$b Vladimir K.$0869392
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910467607903321
996   $aInvariant differential operators$91941004
997   $aUNINA