Modules of \(n\)-ary differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\)

DOI10.1007/S12044-020-00602-7zbMath1485.53106OpenAlexW3164267281MaRDI QIDQ2024791

Z. Saoudi, Khaled Tounsi, Taher Bichr, Jamel Boujelben

Publication date: 4 May 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-020-00602-7

zbMATH Keywords

densitiessymbolquantization mapsorthosymplectic algebra\(n\)-ary differential operators

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) Geometric quantization (53D50)

Related Items (1)

Symmetries of modules of differential operators on the supercircle \(S^{1|n}\)

Cites Work

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• Projectively equivariant quantizations over the superspace \({\mathbb{R}^{p|q}}\)
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• Modules of bilinear differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\)
• Conformally equivariant quantization: existence and uniqueness
• Projectively equivariant symbol calculus
• \(\mathfrak{spo}(2|2)\)-equivariant quantizations on the supercircle \(S^{1|2}\)
• Classification projective des espaces d’opérateurs différentiels agissant sur les densités
• On natural and conformally equivariant quantizations
• Bilinear differential operators: projectively equivariant symbol and quantization maps

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