3 papers
math.RA2019
Multi-parameter formal deformations of ternary hom-Nambu-Lie algebras
Per Bäck
In this note, we introduce a notion of multi-parameter formal deformations of ternary hom-Nambu-Lie algebras. Within this framework, we construct formal deformations of the three-d…
math.RA2019
On the hom-associative Weyl algebras
Per Bäck, Johan Richter
The first (associative) Weyl algebra is formally rigid in the classical sense. In this paper, we show that it can however be formally deformed in a nontrivial way when considered a…
math.RA2018
Notes on formal deformations of quantum planes and universal enveloping algebras
Per Bäck
In these notes, we introduce formal hom-associative deformations of the quantum planes and the universal enveloping algebras of the two-dimensional non-abelian Lie algebras. We the…