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arXiv · 0711.2943

Representation theory of C-algebras for a higher order class of spheres and tori

Joakim Arnlind
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Abstract

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 representation theory can be understood in terms of ``loop'' and ``string'' representations, which are closely related to the dynamics of an iterated map in the plane. As a particular class of algebras we introduce the ``Henon algebras'', for which the dynamical map is a generalized Henon map, and give an example where irreducible representations of all dimensions exist.

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Joakim Arnlind. 2007-11-19. Representation theory of C-algebras for a higher order class of spheres and tori. https://doi.org/10.1063/1.2913523

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