Differential Calculi on Super-Hopf Algebra F(Rq(1|2))

Abstract

It is constructed two-parameter left-covariant differential calculi on the function algebra on Rq(1 vertical bar 2) with respect to super-Hopf algebra O(GLp, q(1 vertical bar 2)). It is shown that, one of the differential calculi is bicovariant with respect to the super-Hopf algebra F(Rq(1 vertical bar 2)). It is noted that there is another two-parameter differential calculus which is bicovariant with respect to F(Rq(1 vertical bar 2)).