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


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ÇELİK S., ÇELİK S.

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

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.