Symmetries of Modules of Differential Operators

DOI10.2991/jnmp.2005.12.3.4zbMath1094.17010arXivmath-ph/0506044OpenAlexW4378761716MaRDI QIDQ5696408

Pierre Mathonet, Valentin Ovsienko, Hichem Gargoubi

Publication date: 18 October 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0506044

zbMATH Keywords

invariant differential operatorsmodule of tensor densities

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (4)

Differential operators on supercircle: conformally equivariant quantization and symbol calculus ⋮ Operator pencil passing through a given operator ⋮ Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems ⋮ Symmetries of modules of differential operators on the supercircle \(S^{1|n}\)

Cites Work

• Homology of the Lie algebra of vector fields on the line
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Space of linear differential operators on the real line as a module over the Lie algebra of vector fields
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