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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2013 · math-phShow all

6 papers · 2 filters

math-ph2013★ 26 cited

Geodesic Completeness for Sobolev -metrics on the Diffeomorphisms Group of the Circle

Joachim Escher, Boris Kolev

We prove that the weak Riemannian metric induced by the fractional Sobolev norm on the diffeomorphisms group of the circle is geodesically complete, provided .

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…

math-ph2013

Quasi-Hamiltonian bookkeeping of WZNW defects

Ctirad Klimcik

We interpret the chiral WZNW model with general monodromy as an infinite dimensional quasi-Hamiltonian dynamical system. This interpretation permits to explain the totality of comp…

math-ph2013

Symmetry classes for even-order tensors

M. Olive, N. Auffray

The purpose of this article is to give a complete and general answer to the recurrent problem in continuum mechanics of the determination of the number and the type of symmetry cla…