Bicovariant differential geometry of the quantum group GLq(3)

Paolo Aschieri, Leonardo Castellani
1992 Physics Letters B  
We construct a bicovariant differential calculus on the quantum group GL_q(3), and discuss its restriction to [SU(3) ⊗ 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.
doi:10.1016/0370-2693(92)90887-a fatcat:bsbr7idnnrchvpuqgxdhnxgkni