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Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras
Lund University. (Centre for Mathematical Sciences)
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (Mathematics and Applied Mathematics)ORCID iD: 0000-0003-4554-6528
2014 (English)In: Springer Proceedings in Mathematics and Statistics, Springer, 2014, Vol. 85, 37-59 p.Conference paper, Published paper (Refereed)
Abstract [en]

We consider a family of associative algebras, defined as the quotient of a free algebra with the ideal generated by a set of multi-parameter deformed commutation relations between four generators consisting of five quantum plane relations between pairs of generators and one sub-quadratic relation inter-linking all four generators. For generic parameter vectors, the center and the commutants of the two of the generators are described and conditions on the parameters for these commutants to be itself commutative or non-commutative are obtained.

Place, publisher, year, edition, pages
Springer, 2014. Vol. 85, 37-59 p.
Series
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 85
Keyword [en]
Quantum planes, Commuting elements, Center, Commutation relations, 16U70, 16S36, 16S37, 16S38
National Category
Mathematics Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-27263DOI: 10.1007/978-3-642-55361-5_3ISI: 000347610400003Scopus ID: 2-s2.0-84943531258ISBN: 978-3-642-55360-8 (print)ISBN: 978-3-642-55361-5 (print)OAI: oai:DiVA.org:mdh-27263DiVA: diva2:775375
Conference
Algebra, Geometry and Mathematical Physics Conference, AGMP 2011; Mulhouse; France; 24 October 2011 through 26 October 2011; Code 136859
Available from: 2015-01-02 Created: 2015-01-01 Last updated: 2016-01-22Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1007/978-3-642-55361-5_3

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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