Two-parametric extension of h-deformation of Gr(1 vertical bar 1)

ÇELİK S., HIZEL E., ÇELİK S.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.40, sa.6, ss.3091-3098, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 6
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1063/1.532747
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3091-3098
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The two-parametric quantum deformation of the algebra of coordinate functions on the (dual) supergroup Gr(1\1) via a contraction of Gr(p,q) (1\1) is presented. Although the quantum superdeterminant of any element of Gr(p,q) (1\1) is not central, in the two parametric Jordanian deformation of Gr(1\1) the quantum superdeterminant belongs to the center. The Hopf algebra structure of Gr(h1), (h2) (1\1) is discussed. (C) 1999 American Institute of Physics. [S0022-2488(99)00606-4].