Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R) and Character Formulae

2015/06/07 by V. K. Dobrev, Dobrev, V. K., Igor Salom +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1506.02272

27 pages, 2 figures, To appear in the Proceedings of the VIII Mathematical Physics Meeting, (Belgrade, 24-31 August 2014); v2: corrected sign error; arXiv admin note: text overlap in preliminaries with arXiv:hep-th/0402039, Proceedings of the VIII Mathematical Physics Meeting, (Belgrade, 24-31 August 2014) SFIN XXVIII (A1), eds. B. Dragovich et al, Belgrade Inst. Phys. 2013 [ISBN 978-86-82441-43-4], pp. 59-81

openalex publication_date 2015/06/07 · arxiv created 2016/07/22 · arxiv updated 2017/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue the study of positive energy (lowest weight) unitary irreducible representations of the superalgebras osp(1|2n,R). We update previous results and present the full list of these UIRs. We give also some character formulae for these representations.

Citations

• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)

Cited by

• Positive energy unitary irreducible representations of the superalgebra osp(1|8,R)

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