Noncompact Semisimple Lie Algebras And Groups (de Gruyter Studies In Mathematical Physics)
by Vladimir K. Dobrev /
2016 / English / PDF
2.5 MB Download
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,
Schrodinger 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.
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,
Schrodinger 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:
Contents:
Introduction
Introduction
Lie Algebras and Groups
Lie Algebras and Groups
Real Semisimple Lie Algebras
Real Semisimple Lie Algebras
Invariant Differential Operators
Invariant Differential Operators
Case of the Anti-de Sitter Group
Case of the Anti-de Sitter Group
Conformal Case in 4D
Conformal Case in 4D
Kazhdan-Lusztig Polynomials, Subsingular Vectors, and
Conditionally Invariant Equations
Kazhdan-Lusztig Polynomials, Subsingular Vectors, and
Conditionally Invariant Equations
Invariant Differential Operators for Noncompact Lie Algebras
Parabolically Related to Conformal Lie Algebras
Invariant Differential Operators for Noncompact Lie Algebras
Parabolically Related to Conformal Lie Algebras
Multilinear Invariant Differential Operators from New Generalized
Verma Modules
Multilinear Invariant Differential Operators from New Generalized
Verma Modules
Bibliography
Bibliography
Author Index
Author Index
Subject Index
Subject Index
