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Notes on formal deformations of quantum planes and universal enveloping algebras
- Source :
- Journal of Physics: Conf. Series 1194(1) (2019)
- Publication Year :
- 2018
-
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.<br />Comment: 7 pages; Updated reference to Ore's article with correct name, deleted 17A01 MSC class, corrected a minor typo in a proof
Details
- Database :
- arXiv
- Journal :
- Journal of Physics: Conf. Series 1194(1) (2019)
- Publication Type :
- Report
- Accession number :
- edsarx.1812.00083
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1742-6596/1194/1/012011