Contact Lie poset algebras
Rings and Algebras
2021-07-13 v3
Abstract
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.
Cite
@article{arxiv.2012.07200,
title = {Contact Lie poset algebras},
author = {Vincent Coll and Nicholas Mayers and Nicholas Russoniello},
journal= {arXiv preprint arXiv:2012.07200},
year = {2021}
}