English

n=3 Nilpotent differential calculus on some non-commutative (super) spaces

Mathematical Physics 2015-06-26 v2 math.MP Quantum Algebra

Abstract

In this paper, we construct a covariant differential calculus on quantum plane with two-parametric quantum group as a symmetry group. The two cases d2=0d^2=0 and d3=0d^3=0 are completly established. We also construct differential calculi n=2n=2 and n=3n=3 nilpotent on super quantum space with one and two-parametric symmetry quantum supergroup.

Cite

@article{arxiv.math-ph/0303057,
  title  = {n=3 Nilpotent differential calculus on some non-commutative (super) spaces},
  author = {M. El Baz and A. El Hassouni and Y. Hassouni and E. H. Zakkari},
  journal= {arXiv preprint arXiv:math-ph/0303057},
  year   = {2015}
}
R2 v1 2026-07-22T16:22:43.021Z