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    129,95 € / $182.00 / £118.00*

    eBook (PDF)
    Publication Date:
    September 2016
    Copyright year:
    2016
    ISBN
    978-3-11-042764-6
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    Overview

    Aims and Scope

    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

    Details

    24.0 x 17.0 cm
    xii, 409 pages
    9 Tables
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):

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

    Reviews

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

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