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

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....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dobrev, V. K. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin [Germany] ; Boston [Massachusetts] : De Gruyter, 2016.
Colección:De Gruyter studies in mathematical physics ; Volume 35.
Temas:
Lie algebras.
Lie groups.
Differential invariants.
Differential operators.
Quantum groups.
Superalgebras.
Algèbres de Lie.
Groupes de Lie.
Invariants différentiels.
Opérateurs différentiels.
Groupes quantiques.
Superalgèbres.
MATHEMATICS > Algebra > Intermediate.
Differential invariants
Differential operators
Lie algebras
Lie groups
Quantum groups
Superalgebras
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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

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