On minimal ideals of Lie algebras
Donald W. Barnes
TL;DR
This paper proves that in finite-dimensional Lie algebras, minimal ideals are either simple or abelian, clarifying their fundamental structure.
Contribution
It establishes a clear dichotomy for minimal ideals in finite-dimensional Lie algebras, enhancing understanding of their structural properties.
Findings
Minimal ideals are either simple or abelian.
Provides a classification of minimal ideals in finite-dimensional Lie algebras.
Clarifies the structure of Lie algebra ideals.
Abstract
We show that a minimal ideal of a finite-dimensional Lie algebra is either simple or abelian.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras