On the 𝔞𝔣𝔣(m|1)-relative cohomology of the orthosymplectic superalgebra 𝔬𝔰𝔭(m|2) and 𝔞𝔣𝔣(m|1)-trivial deformation

DOI10.1142/S021988781750027XzbMath1358.53091OpenAlexW2541720715MaRDI QIDQ2958898

Thamer Faidi, Hafedh Khalfoun

Publication date: 3 February 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021988781750027x

zbMATH Keywords

cohomologyaffine Lie superalgebrasuperpseudodifferential operators: Poisson superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Deformation quantization, star products (53D55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Construction of miniversal deformations of Lie algebras
• Deforming the Lie algebra of vector fields on \(S^1\) inside the Poisson algebra on \(\dot T^*S^1\)
• Differential groups and formal Lie theory for an infinite number of parameters
• On the Cohomology of the Lie Superalgebra of Contact Vector Fields on S1|2
• Deformations of Modules of Differential Forms
• Deformations of homomorphisms of Lie groups and Lie algebras

This page was built for publication: On the 𝔞𝔣𝔣(m|1)-relative cohomology of the orthosymplectic superalgebra 𝔬𝔰𝔭(m|2) and 𝔞𝔣𝔣(m|1)-trivial deformation