EAN: 9783110435429

VLADIMIR K DOBREV INVARIANT DIFFERENTIAL OPERAT...

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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