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

Positive Energy Unitary Irreducible Representations of the Superalgebra $osp\left(1\right8,\mathbb{R})$Vladinir Dobrev, Igor SalomInstitute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria; Institute of Physics, University of Belgrade, Belgrade, SerbiaAbstract: We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras $osp\left(1\right2n,\mathbb{R})$. We present the full list of these UIRs. We give a proof of the case $osp\left(1\right8,\mathbb{R})$. Keywords: unitary representation, Verma module, singular vector, subsingular vector Classification (MSC2000): 17B10; 17B35; 81R05 Full text of the article: (for faster download, first choose a mirror)
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