Commutants and Centers in a 6Parameter Family of Quadratically Linked Quantum Plane Algebras
(2014) Conference on Algebra, Geometry and Mathematical Physics (AGMP) 85. p.3759 Abstract
 We consider a family of associative algebras, defined as the quotient of a free algebra with the ideal generated by a set of multiparameter deformed commutation relations between four generators consisting of five quantum plane relations between pairs of generators and one subquadratic relation interlinking 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 noncommutative are obtained.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5075925
 author
 Ekström, Fredrik ^{LU} and Silvestrov, Sergei ^{LU}
 organization
 publishing date
 2014
 type
 Chapter in Book/Report/Conference proceeding
 publication status
 published
 subject
 host publication
 Algebra, Geometry and Mathematical Physics (AGMP)
 volume
 85
 pages
 37  59
 publisher
 Springer
 conference name
 Conference on Algebra, Geometry and Mathematical Physics (AGMP)
 conference dates
 20111024  20111026
 external identifiers

 wos:000347610400003
 scopus:84943531258
 ISSN
 21941009
 DOI
 10.1007/9783642553615_3
 language
 English
 LU publication?
 yes
 id
 f2488102d869445883a0897f8b9c12f6 (old id 5075925)
 date added to LUP
 20160401 14:48:58
 date last changed
 20210922 05:05:02
@inproceedings{f2488102d869445883a0897f8b9c12f6, abstract = {We consider a family of associative algebras, defined as the quotient of a free algebra with the ideal generated by a set of multiparameter deformed commutation relations between four generators consisting of five quantum plane relations between pairs of generators and one subquadratic relation interlinking 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 noncommutative are obtained.}, author = {Ekström, Fredrik and Silvestrov, Sergei}, booktitle = {Algebra, Geometry and Mathematical Physics (AGMP)}, issn = {21941009}, language = {eng}, pages = {3759}, publisher = {Springer}, title = {Commutants and Centers in a 6Parameter Family of Quadratically Linked Quantum Plane Algebras}, url = {http://dx.doi.org/10.1007/9783642553615_3}, doi = {10.1007/9783642553615_3}, volume = {85}, year = {2014}, }