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math-ph2013
Noncommutative geometry of the dihedral group D 6
Boris Arm
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 '…
math-ph2013
Noncommutative ricci curvature and dirac operator on B q [SU 2 ] at the fourth root of unity
Boris Arm
We calculate the torsion free spin connection on the quantum group B q [SU 2 ] at the fourth root of unity. From this we deduce the covariant derivative and the Riemann curvature.…
math-ph2013
Noncommutative geometry on the universal envelopping algebra of the Borel subgroup U[sb(2)]
Boris Arm
We study the Borel algebra de ne by [x a ; x b ] = 2 a;1 x b as a noncommutative manifold R 3 . We calculate its noncommutative di erential form relations. We deduce its partial de…