Contact Lie poset algebras

Autor: Coll, Vincent, Mayers, Nicholas, Russoniello, Nicholas
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv