1.

Record Nr.

UNINA9910819810903321

Autore

Dobrev V. K.

Titolo

Invariant differential operators . Volume 3 Supersymmetry / / Vladimir K. Dobrev

Pubbl/distr/stampa

Berlin, Germany ; ; Boston : , : De Gruyter, , [2018]

©2018

ISBN

3-11-052669-7

3-11-052749-9

Edizione

[First edition.]

Descrizione fisica

1 online resource (228 pages) : illustrations

Collana

De Gruyter studies in mathematical physics ; ; Volume 49

Disciplina

512.482

Soggetti

Lie algebras

Lie groups

Differential invariants

Differential operators

Quantum groups

Superalgebras

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered. Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D › 4 Quantum superalgebras