27 citations · 83 across the 8 of their papers we have counts for
Showing 2007 · math-phShow all
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math-ph2007★ 10 cited
Representation theory of C-algebras for a higher order class of spheres and tori
Joakim Arnlind
We construct C-algebras for a class of surfaces that are inverse images of certain polynomials of arbitrary degree. By using the directed graph associated to a matrix, the represen…
math-ph2007★ 5 cited
Noncommutative Riemann Surfaces
Joakim Arnlind, Martin Bordemann, Laurent Hofer +2
We introduce C-Algebras of compact Riemann surfaces as non-commutative analogues of the Poisson algebra of smooth functions on . Representations of these algebras give rise…
math-ph2007★ 24 cited
Goldfish geodesics and Hamiltonian reduction of matrix dynamics
Joakim Arnlind, Martin Bordemann, Jens Hoppe +1
We relate free vector dynamics to the eigenvalue motion of a time-dependent real-symmetric NxN matrix, and give a geodesic interpretation to Ruijsenaars Schneider models.