Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras
(2014) Conference on Algebra, Geometry and Mathematical Physics (AGMP) 85. p.37-59- Abstract
- 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.
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
- 2011-10-24 - 2011-10-26
- external identifiers
-
- wos:000347610400003
- scopus:84943531258
- ISSN
- 2194-1009
- DOI
- 10.1007/978-3-642-55361-5_3
- language
- English
- LU publication?
- yes
- id
- f2488102-d869-4458-83a0-897f8b9c12f6 (old id 5075925)
- date added to LUP
- 2016-04-01 14:48:58
- date last changed
- 2022-01-28 02:36:57
@inproceedings{f2488102-d869-4458-83a0-897f8b9c12f6, abstract = {{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.}}, author = {{Ekström, Fredrik and Silvestrov, Sergei}}, booktitle = {{Algebra, Geometry and Mathematical Physics (AGMP)}}, issn = {{2194-1009}}, language = {{eng}}, pages = {{37--59}}, publisher = {{Springer}}, title = {{Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras}}, url = {{http://dx.doi.org/10.1007/978-3-642-55361-5_3}}, doi = {{10.1007/978-3-642-55361-5_3}}, volume = {{85}}, year = {{2014}}, }