A class of graded Lie algebras of vector fields and first order differential operators

DOI10.1063/1.530645zbMath0834.17038OpenAlexW2082122398MaRDI QIDQ4837165

Gerhard F. Post

Publication date: 4 July 1995

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

Full work available at URL: https://doi.org/10.1063/1.530645

zbMATH Keywords

cohomology groupsLie algebras of polynomial vector fieldsspecial elementsalgebras of first order differential operators

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Sheaves of differential operators and their modules, (D)-modules (32C38) Cohomology of Lie (super)algebras (17B56) Local Lie groups (22E05)

Related Items

The Lie algebra of the lowest transitively differential group of degree three ^* ⋮ Conformally equivariant quantization: existence and uniqueness

Cites Work

• Quantal problems with partial algebraization of the spectrum
• Quasi-exactly-solvable problems and sl(2) algebra
• Quasi-exactly solvable Lie algebras of differential operators in two complex variables
• A construction of transitively differential groups of degree 3
• ALGEBRAIC TRANSFORMATION GROUPS OF MAXIMAL RANK