PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS

DOI10.1142/S0219887806001338zbMath1113.53044arXivmath/0101056OpenAlexW2963146120WikidataQ115245501 ScholiaQ115245501MaRDI QIDQ5484719

Sofiane Bouarroudj

Publication date: 21 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0101056

zbMATH Keywords

Schwarzian derivativeinvariant operatorsGelfand-Fuks cohomologyprojective/conformal structures

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Cohomology of Lie (super)algebras (17B56)

Related Items (11)

Bilinear differential operators and $\mathfrak{osp}(1|2)$-relative cohomology on $\mathbb{R}^{1|1}$ ⋮ Remarks on the Schwarzian derivatives and the invariant quantization by means of a Finsler function. ⋮ Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols ⋮ 1-cocycles on the group of contactomorphisms on the supercircles \(S^{1|1}\) and \(S^{1|2}\) generalizing the Schwarzian derivative ⋮ On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1 ⋮ On \(\mathfrak{aff}(2 | 1)\)-relative cohomology on \(\mathbb{R}^{1 | 2} \) ⋮ Cohomology of Lie algebras on \(\mathbb{R}\) acting on trilinear differential operators ⋮ On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations ⋮ On sl(2)-relative cohomology of the Lie algebra of vector fields and differential operators ⋮ Analogs of Bol operators on superstrings ⋮ Invariant bilinear operators and the second 𝔰𝔩(2)-relative cohomology of the Lie algebra of vector fields on ℝ

Cites Work

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