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

På svenska

Author

  • Fredrik Ekström
  • Sergei Silvestrov

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.

Publishing year

2014

Language

English

Pages

37-59

Publication/Series

Algebra, Geometry and Mathematical Physics (AGMP)

Volume

85

Document type

Conference paper

Publisher

Springer

Topic

  • Mathematics

Conference name

Conference on Algebra, Geometry and Mathematical Physics (AGMP)

Conference date

2011-10-24 - 2011-10-26

Status

Published

ISBN/ISSN/Other

  • ISSN: 2194-1009