Notes on formal deformations of quantum planes and universal enveloping algebras
Rings and Algebras
2019-05-10 v2 Quantum Algebra
Abstract
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 then show that these deformations induce formal hom-Lie deformations of the corresponding Lie algebras constructed by using the commutator as bracket.
Keywords
Cite
@article{arxiv.1812.00083,
title = {Notes on formal deformations of quantum planes and universal enveloping algebras},
author = {Per Bäck},
journal= {arXiv preprint arXiv:1812.00083},
year = {2019}
}
Comments
7 pages; Updated reference to Ore's article with correct name, deleted 17A01 MSC class, corrected a minor typo in a proof