Bicovariant differential geometry of the quantum group GL_q(3)

Details Bicovariant differential geometry of the quantum group GL_q(3) Bicovariant differential geometry of the quantum group GL_q(3)

1992-08-13

arxiv.org/abs/hep-th/9208037v1

Phys.Lett. B293 (1992) 299-308

Physics

High Energy Physics

High Energy Physics - Theory

16 p., LaTeX, DFTT-44/92

Scientific paper

10.1016/0370-2693(92)90887-A

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

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