Cohomology of Lie algebras on \(\mathbb{R}\) acting on trilinear differential operators

DOI10.1007/S12215-020-00582-7OpenAlexW3120232285MaRDI QIDQ2243684

Abderraouf Ghallabi

Publication date: 11 November 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00582-7

zbMATH Keywords

cohomologyLie algebradifferential operators

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Cites Work

• On sl(2)-relative cohomology of the Lie algebra of vector fields and differential operators
• Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
• COHOMOLOGY OF THE VECTOR FIELDS LIE ALGEBRAS ON ℝℙ¹ ACTING ON BILINEAR DIFFERENTIAL OPERATORS
• Cohomology of 𝔞𝔣𝔣(1|1) acting on the space of n-ary linear differential operators on S1|1
• PROJECTIVE AND CONFORMAL SCHWARZIAN DERIVATIVES AND COHOMOLOGY OF LIE ALGEBRAS VECTOR FIELDS RELATED TO DIFFERENTIAL OPERATORS
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol
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