Overview

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: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index

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9783110435429

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Reviews

The book would be helpful for theoretical physicists interested in applications of representation theory. Michael Pevzner in: Mathematical Reviews December 2017, MR3561099

""The book would be helpful for theoretical physicists interested in applications of representation theory."" Michael Pevzner in: Mathematical Reviews December 2017, MR3561099

Author Information

Vladimir Dobrev, Bulgarian Academy of Sciences, Sofia, Bulgaria.

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