Deformations of \(\mathfrak{a}\mathfrak{f}\mathfrak{f}(n|1)\)-module of weighted densities on \(\mathbb{R}^{1 | n}, n\geq2\)

DOI10.1142/S179355712350153XMaRDI QIDQ6650677

S. Faidi, Thamer Faidi

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cohomologydeformationsymbolaffine Lie superalgebraweighted densities

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols
• \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols
• Construction of miniversal deformations of Lie algebras
• Deformation of \(\mathfrak{vect}(1)\)-modules of symbols
• Cohomology of \(\mathfrak{aff}(n\vert 1)\) acting on the spaces of linear differential operators on the superspace \(\mathbb{R}^{1/n}\)
• Deformation of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2)\)-modules of symbols
• Deformations of subalgebras of Lie algebras
• DEFORMATIONS OF LIE ALGEBRAS
• Cohomology and deformation of 𝔞𝔣𝔣(1|1) acting on differential operators
• Deformations of Modules of Differential Forms
• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
• Deformations of homomorphisms of Lie groups and Lie algebras

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