On the finite dimensional representations of the pseudo-Lie algebras
type: Item
instance of: scholarly article
title: On the finite dimensional representations of the pseudo-Lie algebras
zbMATH Open document ID: 0359.17011
DOI: 10.1016/0034-4877(77)90055-6
author: Szymon Rabsztyn
published in: Reports on Mathematical Physics
publication date: 1977-01-01T00:00:00Z
review text: In the note the author obtains a structure of the pseudo-Lie algebra (graded Lie algebra) of generators of supersymmetry assuming that it has a faithful, finite dimensional representation [at present the question whether Ado's theorem is true for pseudo-Lie algebras is affirmatively answered in the paper by \textit{V. G. Kac} [Commun. Math. Phys. 53, 31--64 (1977; Zbl 0359.17009)] in a space of minimal possible dimension at which there is still a faithful representation of the Poincaré Lie algebra.
Mathematics Subject Classification ID: 17B81
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 81R05
zbMATH DE Number: 3559790
MaRDI profile type: Publication
full work available at URL: 0034-4877(77)90055-6
OpenAlex ID: W2093725420
description: scientific article; zbMATH DE number 3559790