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Notes on formal deformations of quantum planes and universal enveloping algebras
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-6309-8709
2019 (English)In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, Vol. 1194, no 1, article id 012011Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Institute of Physics Publishing , 2019. Vol. 1194, no 1, article id 012011
Keywords [en]
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
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-43409DOI: 10.1088/1742-6596/1194/1/012011Scopus ID: 2-s2.0-85065569764OAI: oai:DiVA.org:mdh-43409DiVA, id: diva2:1314737
Conference
The 32nd International Colloquium on Group Theoretical Methods in Physics, Group32; Czech Technical University; Prague; Czech Republic; 9th July through 13th July, 2018.
Available from: 2019-05-09 Created: 2019-05-09 Last updated: 2019-05-24Bibliographically approved

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Bäck, Per

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CiteExportLink to record
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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf