Noncommutative geometry of the dihedral group D 6

Boris Arm (1)

1 IML - Institut de mathématiques de Luminy

We study the noncommutative geometry of the dihedral group D 6 using the tools of quantum group theory. We explicit the torsion free regular spin connection and the corresponding 'Levi-Civita' connection. Next, we nd the Riemann curvature and its Ricci tensor. The main result is the Dirac operator of a representation of the group which we nd the eigenvalues and the eigenmodes.

Domaines: Physique mathématique [math-ph]

Boris Arm. Noncommutative geometry of the dihedral group D 6. 2012. ⟨hal-00809362v2⟩