Contact Lie poset algebras of types B, C, and D

Nicholas Mayers; Nicholas Russoniello

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Contact Lie poset algebras of types B, C, and D

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arxiv 2403.00958 v1 pith:WRXGVXCD submitted 2024-03-01 math.CO math.RA

Nicholas Mayers , Nicholas Russoniello This is my paper · ORCID

classification math.COmath.RA

keywords algebrasposettypescontactformulaindexapplyingassociated

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We extend a recently established combinatorial index formula applying to Lie poset algebras of types B, C, and D. Then, using the extended index formula, we determine a characterization of contact Lie poset algebras of types B, C, and D corresponding to posets of height one in terms of an associated graph.

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