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1. Notes on formal deformations of quantum planes and universal enveloping algebras

Author

Bäck, Per

Subjects
Mathematics - Rings and Algebras, Mathematics - Quantum Algebra, 17A30, 17B37, 16S80, 16S30
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., Comment: 7 pages; Updated reference to Ore's article with correct name, deleted 17A01 MSC class, corrected a minor typo in a proof

Published
2018
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2. Notes on formal deformations of quantum planes and universal enveloping algebras

Author

Per Bäck

Subjects
Physics, History, hom-Lie algebras, 17A30, 17B37, 16S80, 16S30, hom-associative quantum planes, Mathematics - Rings and Algebras, Hom-associative algebras, hom-associative deformations, Algebra and Logic, hom-associative Ore extensions, Computer Science Applications, Education, Theoretical physics, hom-Lie deformations, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), hom-associative universal enveloping algebras, Quantum, Algebra och logik
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., Comment: 7 pages; Updated reference to Ore's article with correct name, deleted 17A01 MSC class, corrected a minor typo in a proof

Published
2019

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