Constructing Lie algebras of first order differential operators.

DOI10.1016/S0747-7171(03)00061-0zbMath1088.17012MaRDI QIDQ1426141

Jan Draisma

Publication date: 14 March 2004

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66)

Related Items (4)

Faithful representations of the Galilean Lie algebra in two spatial dimensions ⋮ A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras ⋮ Representation theory on the open Bruhat cell. ⋮ Lie subalgebras of differential operators in one variable

Uses Software

• GAP

Cites Work

• Homogeneous vector bundles
• Lie theory and special functions
• Realization of semisimple lie algebras with polynomial and rational vector fields
• Induced and Produced Representations of Lie Algebras
• Representations of Finite-Dimensional Lie Algebras by First-Order Differential Operators. Some Local Results in the Transitive Case
• Lie Algebras of Differential Operators in Two Complex Variables
• An algebraic model of transitive differential geometry
• On a vector field formula for the Lie algebra of a homogeneous space
• Semisimple Lie algebras of differential operators
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