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

Ekström, Fredrik LU and Silvestrov, Sergei LU (2014) Conference on Algebra, Geometry and Mathematical Physics (AGMP) In 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.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Algebra, Geometry and Mathematical Physics (AGMP)
volume
85
pages
37 - 59
publisher
Springer
conference name
Conference on Algebra, Geometry and Mathematical Physics (AGMP)
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
2015-02-25 16:46:35
date last changed
2017-01-01 06:27:08
@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},
  volume       = {85},
  year         = {2014},
}