\(\mathfrak{spo}(2|2)\)-equivariant quantizations on the supercircle \(S^{1|2}\)

DOI10.3842/SIGMA.2013.055zbMath1380.53103arXiv1302.3727OpenAlexW2028792271MaRDI QIDQ2447825

Aboubacar Nibirantiza, Najla Mellouli, Fabian Radoux

Publication date: 29 April 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3727

zbMATH Keywords

contact geometrysupergeometryorthosymplectic Lie superalgebraequivariant quantization

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Contact manifolds (general theory) (53D10) Geometric quantization (53D50)

Related Items (5)

Modules of bilinear differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\) ⋮ Differential operators on the supercircle S1|2 and symbol map ⋮ Modules of \(n\)-ary differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\) ⋮ New super integrable hierarchies associated with \(\operatorname{osp}(2|2)\) and \(\operatorname{spo}(2|2)\) and their applications ⋮ Symmetries of modules of differential operators on the supercircle \(S^{1|n}\)

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