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


Celik S., Hizel E., Celik S.

JOURNAL OF MATHEMATICAL PHYSICS, vol.40, no.6, pp.3091-3098, 1999 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 6
  • Publication Date: 1999
  • Doi Number: 10.1063/1.532747
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3091-3098
  • Istanbul Technical University Affiliated: No

Abstract

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].