A note on orthogonal Lie algebras in dimension 4 viewed as current Lie algebras
Martin Chaktoura, Fernando Szechtman
TL;DR
This paper explores the structure of 4-dimensional orthogonal Lie algebras by representing them as current Lie algebras, providing a natural decomposition applicable over any field.
Contribution
It demonstrates that 4-dimensional orthogonal Lie algebras can be viewed as current Lie algebras, offering a new perspective and decomposition method.
Findings
Orthogonal Lie algebras in dimension 4 are identified as current Lie algebras.
A natural decomposition of these algebras over any field is established.
Abstract
Orthogonal Lie algebras in dimension 4 are identified as current Lie algebras, thus producing a natural decomposition for them over any field.
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 · Finite Group Theory Research · Algebraic structures and combinatorial models