On toral posets and contact Lie algebras
Abstract
A (2k+1)-dimensional Lie algebra is called contact if it admits a one-form such that (d)k≠ 0. Here, we extend recent work to describe a combinatorial procedure for generating contact, type-A Lie poset algebras whose associated posets have chains of arbitrary cardinality, and we conjecture that our construction leads to a complete characterization.
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