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, no 5, 053502-1-053502-13 p.Article 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 "Henon algebras," for which the dynamical map is a generalized Henon map, and give an example where irreducible representations of all dimensions exist.
Place, publisher, year, edition, pages
2008. Vol. 49, no 5, 053502-1-053502-13 p.
IdentifiersURN: urn:nbn:se:kth:diva-7902DOI: 10.1063/1.2913523ISI: 000256304400019ScopusID: 2-s2.0-44649125372OAI: oai:DiVA.org:kth-7902DiVA: diva2:13069
QC 20100630. Uppdaterad från submitted till published (20100630).2008-01-162008-01-162010-07-06Bibliographically approved