Publications de l’Institut Mathématique, Nouvelle Série, Vol. 102[116], pp. 49

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 102[116], pp. 49–60 (2017)

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Positive Energy Unitary Irreducible Representations of the Superalgebra $osp (1 | 8, ℝ)$

Vladinir Dobrev, Igor Salom

Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria; Institute of Physics, University of Belgrade, Belgrade, Serbia

Abstract: We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras $osp (1 | 2 n, ℝ)$ . We present the full list of these UIRs. We give a proof of the case $osp (1 | 8, ℝ)$ .

Keywords: unitary representation, Verma module, singular vector, subsingular vector

Classification (MSC2000): 17B10; 17B35; 81R05

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Electronic fulltext finalized on: 3 Nov 2017. This page was last modified: 29 Jan 2018.

© 2017 Mathematical Institute of the Serbian Academy of Science and Arts
© 2017–2018 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition

Positive Energy Unitary Irreducible Representations of the Superalgebra osp(1|8,ℝ)

Vladinir Dobrev, Igor Salom

Positive Energy Unitary Irreducible Representations of the Superalgebra $osp (1 | 8, ℝ)$