The space of \(m\)-ary differential operators as a module over the Lie algebra of vector fields

DOI10.1016/J.GEOMPHYS.2006.12.002zbMath1161.17012arXivmath/0603287OpenAlexW1963701392WikidataQ115353433 ScholiaQ115353433MaRDI QIDQ886334

Sofiane Bouarroudj

Publication date: 26 June 2007

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603287

zbMATH Keywords

invariant operatorsEquivariant quantizationmodule of differential operators

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Deformation quantization, star products (53D55)

Related Items (5)

First cohomology of the Lie algebra of vector fields on the affine real line relative to affine vector fields with coefficients in bilinear differential operators on weighted densities ⋮ Cohomology of 𝔞𝔣𝔣(1|1) acting on the space of n-ary linear differential operators on S1|1 ⋮ Modules of \(n\)-ary differential operators over the orthosymplectic superalgebra \(\mathfrak{osp}(1|2)\) ⋮ Ternary invariant differential operators acting on spaces of weighted densities ⋮ Symmetries of modules of differential operators on the supercircle \(S^{1|n}\)

Cites Work

• Comparison of some modules of the Lie algebra of vector fields
• Projectively equivariant quantization for differential operators acting on forms
• Classification of bilinear invariants of operators on tensor fields
• Invariant operators on geometric quantities
• New generalized Verma modules and multilinear intertwining differential operators
• Space of second-order linear differential operators as a module over the Lie algebra of vector fields
• Equivariant symbol calculus for differential operators acting on forms
• Projectively equivariant quantization map.
• Conformally equivariant quantization: existence and uniqueness
• Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
• Projectively equivariant symbol calculus
• Natural and projectively equivariant quantizations by means of Cartan connections
• Une caractérisation abstraite des opérateurs différentiels.
• Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
• Modules of third-order differential operators on a conformally flat manifold
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol
• Projectively equivariant symbol calculus for bidifferential operators.
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