Algebra gl(λ) Inside the Algebra of Differential Operators on the Real Line
DOI10.2991/JNMP.2002.9.3.1zbMath1014.17021arXivmath/0302027OpenAlexW2165318798MaRDI QIDQ4780629
Publication date: 16 March 2003
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0302027
Lie algebradifferential operatorsequivariant quantizationtensor densitiesPoisson algebra of polynomialPoisson algebra of principal symbols
Universal enveloping (super)algebras (17B35) Lie algebras of vector fields and related (super) algebras (17B66) General theory of ordinary differential operators (47E05) Infinite-dimensional Lie (super)algebras (17B65) Deformation quantization, star products (53D55)
Cites Work
- Comparison of some modules of the Lie algebra of vector fields
- Certain topics on the representation theory of the Lie algebra \(gl(\lambda)\)
- Space of second-order linear differential operators as a module over the Lie algebra of vector fields
- Orthogonal polynomials of a discrete variable and Lie algebras of matrices of complex order
- Universal Drinfeld-Sokolov reduction and matrices of complex size
- Projectively equivariant symbol calculus
- On the modality and complexity of actions of reductive groups
- Space of linear differential operators on the real line as a module over the Lie algebra of vector fields
- Modules of differential operators on the real line
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