Notes on formal deformations of quantum planes and universal enveloping algebras

• In these notes, we introduce formal hom-associative deformations of the quantumplanes 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 correspondingLie algebras constructed by using the commutator as bracket.

Ämnesord

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Nyckelord

Hom-associative algebras

hom-Lie algebras

hom-associative Ore extensions

hom-associative quantum planes

hom-associative universal enveloping algebras

hom-associative deformations

hom-Lie deformations

Mathematics/Applied Mathematics

matematik/tillämpad matematik

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)