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Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras
Lund University. (Centre for Mathematical Sciences)
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, Utbildningsvetenskap och Matematik. (Mathematics and Applied Mathematics)ORCID-id: 0000-0003-4554-6528
2014 (engelsk)Inngår i: Springer Proceedings in Mathematics and Statistics, Springer, 2014, Vol. 85, s. 37-59Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
Springer, 2014. Vol. 85, s. 37-59
Serie
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 85
Emneord [en]
Quantum planes, Commuting elements, Center, Commutation relations, 16U70, 16S36, 16S37, 16S38
HSV kategori
Forskningsprogram
matematik/tillämpad matematik
Identifikatorer
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 (tryckt)ISBN: 978-3-642-55361-5 (tryckt)OAI: oai:DiVA.org:mdh-27263DiVA, id: diva2:775375
Konferanse
Algebra, Geometry and Mathematical Physics Conference, AGMP 2011; Mulhouse; France; 24 October 2011 through 26 October 2011; Code 136859
Tilgjengelig fra: 2015-01-02 Laget: 2015-01-01 Sist oppdatert: 2018-02-27bibliografisk kontrollert

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Forlagets fulltekstScopushttp://dx.doi.org/10.1007/978-3-642-55361-5_3

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