Deformations of subalgebras of Lie algebras

DOI10.4310/jdg/1214429055zbMath0215.38603OpenAlexW1553970643WikidataQ115193087 ScholiaQ115193087MaRDI QIDQ2545736

R. W. jun. Richardson

Publication date: 1969

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214429055

zbMATH Keywords

Lie algebra cohomologydeformations of subalgebras of Lie algebras

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Lie algebras and Lie superalgebras (17B99)

Related Items (23)

\(\mathfrak{osp}(2|2)\)-trivial deformations of modules of weighted densities on the superspace \(\mathbb R^{1|2}\) ⋮ Deforming the Lie superalgebra \(D(2,1; \alpha \)) inside the superconformal algebra \(K^{\prime}(4)\) ⋮ Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols ⋮ Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols ⋮ Deformation of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2)\)-modules of symbols ⋮ Unnamed Item ⋮ Cohomology of 𝔞𝔣𝔣(m|1) acting on the space of superpseudodifferential operators on the supercircle S1|m ⋮ Deformations of Lie subgroups ⋮ Cohomology of Lie algebra morphism triples and some applications ⋮ Cohomology of 𝔞𝔣𝔣(2) acting on some modules and deformations ⋮ On cohomology of the Lie superalgebra \(D(2,1;\alpha )\) ⋮ Cohomology and deformation of 𝔞𝔣𝔣(1|1) acting on differential operators ⋮ Supertransvectants, cohomology, and deformations ⋮ Simultaneous deformations of algebras and morphisms via derived brackets ⋮ On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations ⋮ Conjugacy and stability theorems in connection with contraction of Lie algebras ⋮ Deformation of \(\mathfrak{vect}(1)\)-modules of symbols ⋮ A survey on stability and rigidity results for Lie algebras ⋮ Conjugacy classes of n-tuples in Lie algebras and algebraic groups ⋮ Deformations of Lie subgroups and the variation of isotropy subgroups ⋮ Subalgebra-preserving deformations of the Lie algebras of Witt type ⋮ Deforming the Lie superalgebra of contact vector fields on \(S^{1|2}\) ⋮ Deformation of modules of weighted densities on the superspace \(\mathbb{R}^{1| N}\)

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