On the differential geometry of GL(q)(1 vertical bar 1)


ÇELİK S. , ÇELİK S.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.31, no.48, pp.9685-9694, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 48
  • Publication Date: 1998
  • Doi Number: 10.1088/0305-4470/31/48/005
  • Title of Journal : JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Page Numbers: pp.9685-9694

Abstract

The differential calculus on the quantum supergroup GL(q)(1\1) was introduced by Schmidke et al (1990 Z. Phys. C 48 249). We construct a differential calculus on the quantum supergroup GL(q)(1\1) in a different way and obtain its quantum Lie algebra; The main structures are derived without an R-matrix. It is shown that the results can be written with help of a matrix (R) over cap.