Advanced studies in pure mathematics· 2018Q3
Differential Systems Associated with Simple Graded Lie Algebras
- 211citations
- Q3SCImago
- 2018year
Short summary
This survey paper introduces the Lie algebra of infinitesimal automorphisms of differential systems (M, D), where D is a subbundle of the tangent bundle T(M).
AI-generated from the title and abstract; the full text is not read.
Key points
- Defines a differential system as a pair (M, D), where D is a subbundle of the tangent bundle T(M).
- Focuses on the Lie algebra A(M, D) of infinitesimal automorphisms of these differential systems.
- Connects differential systems with simple graded Lie algebras.
AI-generated from the title and abstract; the full text is not read.
Abstract
This is a survey paper on differential systems associated with simple graded Lie algebras. By a differential system (M, D), we mean a pfaffian system D ( or a distribution in Chevalley's sense) on a manifold M, that is, D is a subbundle of the tangent bundle T(M) of M. Our primary subject will be the Lie algebra (sheaf) A(M, D) of all infinitesimal automorphisms of (M, D).
The authors' abstract, as published at the source. Advanced studies in pure mathematics, 2018 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Algebra and Number Theory
Algebra and Number TheoryMathematics