Differential Calculi on Super-Hopf Algebra F(R-q(1 vertical bar 2))


Celik S.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.28, no.5, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.1007/s00006-018-0903-6
  • Title of Journal : ADVANCES IN APPLIED CLIFFORD ALGEBRAS

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)).