The breadth of Lie poset algebras
Alex Cameron, Vincent E. Coll, Jr., Nicholas Mayers, and Nicholas, Russoniello

TL;DR
This paper explores the concept of breadth in Lie algebras defined by posets, providing combinatorial formulas for three specific families and initiating a systematic study of this property.
Contribution
It introduces the notion of breadth for Lie poset algebras and derives explicit combinatorial formulas for three families, advancing understanding of their structure.
Findings
Derived combinatorial formulas for the breadth of three Lie poset algebra families
Initiated systematic study of breadth in Lie poset algebras
Connected algebraic properties with combinatorial structures
Abstract
The breadth of a Lie algebra is defined to be the maximal dimension of the image of , for . Here, we initiate an investigation into the breadth of three families of Lie algebras defined by posets and provide combinatorial breadth formulas for members of each family.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models
