Two-parameter nonstandard deformation of 2 x 2 matrices


Creative Commons License

Celik S. , Celik S.

JOURNAL OF MATHEMATICAL PHYSICS, vol.40, no.7, pp.3553-3560, 1999 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 7
  • Publication Date: 1999
  • Doi Number: 10.1063/1.532907
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS
  • Page Numbers: pp.3553-3560

Abstract

We introduce a two-parameter deformation of 2x2 matrices without imposing any condition on the matrices and give the universal R-matrix of the nonstandard quantum group which satisfies the quantum Yang-Baxter relation. Although in the standard two-parameter deformation the quantum determinant is not central, in the nonstandard case it is central. We note that the quantum group thus obtained is related to the quantum supergroup GL(p,q)(1\1) by a transformation. (C) 1999 American Institute of Physics. [S0022-2488(99)03806-2].