Representation theory of C -algebras for a higher-order class of spheres and tori
2008 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 49, 053502-1-053502-13 p., 053502Article in journal (Refereed) Published
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 with 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 “Hénon algebras,” for which the dynamical map is a generalized Hénon map, and give an example where irreducible representations of all dimensions exist.
Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2008. Vol. 49, 053502-1-053502-13 p., 053502
Mathematics Algebra and Logic
IdentifiersURN: urn:nbn:se:liu:diva-122357DOI: 10.1063/1.2913523OAI: oai:DiVA.org:liu-122357DiVA: diva2:865815