Two-parameter nonstandard deformation of 2 x 2 matrices

Celik, Salih; Celik, SA

doi:10.1063/1.532907

Two-parameter nonstandard deformation of 2 x 2 matrices

Celik S., Celik S.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.40, sa.7, ss.3553-3560, 1999 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 40 Sayı: 7
Basım Tarihi: 1999
Doi Numarası: 10.1063/1.532907
Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.3553-3560
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Yıldız Teknik Üniversitesi Adresli: Hayır

Özet

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].