Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras

Summary, in English

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.

• Författare: Fredrik Ekström; Sergei Silvestrov
• Avdelning/ar: Matematik LTH
• Publiceringsår: 2014
• Språk: Engelska
• Sidor: 37-59
• Publikation/Tidskrift/Serie: Algebra, Geometry and Mathematical Physics (AGMP)
• Volym: 85
• Länkar: http://dx.doi.org/10.1007/978-3-642-55361-5_3
• Dokumenttyp: Konferensbidrag
• Förlag: Springer
• Ämne: Mathematics
• Conference name: Conference on Algebra, Geometry and Mathematical Physics (AGMP)
• Conference date: 2011-10-24 - 2011-10-26
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 2194-1009