Noncommutative geometry of the dihedral group D6 ARM Boris Nima arm.boris@gmail.com Abstract We study the noncommutative geometry of the dihedral group D6 using the tools of quantum group theory. We explicit the torsion free regular spin connection and the...
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Noncommutative geometry of the dihedral group D6 ARM Boris Nima arm.boris@gmail.com Abstract We study the noncommutative geometry of the dihedral group D6 using the tools of quantum group theory. We explicit the torsion free regular spin connection and the corresponding ’Levi-Civita’ connection. Next, we find the Riemann curvature and its Ricci tensor. The main result is the Dirac operator of a representation of the group which we find the eigenvalues and the eigenmodes.
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