Contact Lie Poset Algebras

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Electronic Journal of Combinatorics

سال: 2022

ISSN: ['1077-8926', '1097-1440']

DOI: https://doi.org/10.37236/10821