The simple modules of the Lie superalgebra \(osp (1,2)\)

DOI10.1016/S0022-4049(99)00024-9zbMath1006.17009OpenAlexW2040345727WikidataQ115340061 ScholiaQ115340061MaRDI QIDQ1574425

Freddy M. J. van Oystaeyen, Vladimir V. Bavula

Publication date: 22 August 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00024-9

zbMATH Keywords

simple modulesgeneralized Weyl algebraLie superalgebra \(\text{osp}(1,2)\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (8)

Simple Harish-Chandra supermodules over the super Schrödinger algebra ⋮ Integrable modules for affine Lie superalgebras ⋮ Simple Harish-Chandra modules over super Schrödinger algebra in (1+1) dimensional spacetime ⋮ Classification of simple \(\mathfrak{q}_2\)-supermodules ⋮ Universal enveloping algebras of Lie antialgebras ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Simple supermodules over Lie superalgebras ⋮ The spaces Hn(osp(1∣2),M) for some modules M

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