Gr\"{o}bner-Shirshov bases for metabelian Lie algebras
Yongshan Chen, Yuqun Chen
TL;DR
This paper develops a Gr"{o}bner-Shirshov bases theory specifically for metabelian Lie algebras and applies it to find bases for various partial commutative cases related to circuits, trees, and cubes.
Contribution
It introduces the Gr"{o}bner-Shirshov bases framework for metabelian Lie algebras and applies it to specific algebraic structures involving partial commutativity.
Findings
Established Gr"{o}bner-Shirshov bases for metabelian Lie algebras
Derived bases for partial commutative metabelian Lie algebras
Connected bases to structures like circuits, trees, and cubes
Abstract
In this paper, we establish the Gr\"{o}bner-Shirshov bases theory for metabelian Lie algebras. As applications, we find the Gr\"{o}bner-Shirshov bases for partial commutative metabelian Lie algebras related to circuits, trees and some cubes.
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.