4 papers
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 '…
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.…
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…
Poisson Lie Sigma Models
Boris Arm
A Manin triples (D; g; ~ g) is a bialgebra (g; ~ g which don't intersect each others and a direct sum of this bialgebra D = g ~ g). If the corresponding Lie groups have a Poisson s…