English

Bicovariant differential geometry of the quantum group GL_q(3)

High Energy Physics - Theory 2009-10-22 v1

Abstract

We construct a bicovariant differential calculus on the quantum group GLq(3)GL_q(3), and discuss its restriction to [SU(3)U(1)]q[SU(3) \otimes U(1)]_q. The qq-algebra of Lie derivatives is found, as well as the Cartan-Maurer equations. All the quantities characterizing the non-commutative geometry of GLq(3)GL_q(3) are given explicitly.

Keywords

Cite

@article{arxiv.hep-th/9208037,
  title  = {Bicovariant differential geometry of the quantum group GL_q(3)},
  author = {Paolo Aschieri and Leonardo Castellani},
  journal= {arXiv preprint arXiv:hep-th/9208037},
  year   = {2009}
}

Comments

16 p., LaTeX, DFTT-44/92