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Contact Lie poset algebras

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arxiv 2012.07200 v3 pith:JJB35EUH submitted 2020-12-14 math.RA

Vincent Coll , Nicholas Mayers , Nicholas Russoniello This is my paper · ORCID
classification math.RA
keywords contactposetsalgebrascorrespondingposetabsolutelyalgebraargument
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We provide a combinatorial recipe for constructing all posets of height at most two for which the corresponding type-A Lie poset algebra is contact. In the case that such posets are connected, a discrete Morse theory argument establishes that the posets' simplicial realizations are contractible. It follows from a cohomological result of Coll and Gerstenhaber on Lie semi-direct products that the corresponding contact Lie algebras are absolutely rigid.

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