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 |
Externí odkaz: |
|