The Levi Decomposition of a Graded Lie Algebra
Paolo Ciatti, Michael G. Cowling
TL;DR
This paper proves that a graded Lie algebra can be decomposed into a semisimple part and a radical in a way that respects its grading structure.
Contribution
It establishes the existence of a Levi decomposition compatible with the grading in graded Lie algebras, extending classical results.
Findings
Existence of compatible Levi decomposition for graded Lie algebras
Extension of Levi's theorem to graded structures
Structural insight into graded Lie algebra decompositions
Abstract
We show that a graded Lie algebra admits a Levi decomposition that is compatible with the grading.
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 · Advanced Algebra and Geometry