Affine transformation crossed product like algebras and noncommutative surfaces

Simple item page
dc.creatorArnlind, Joakim
dc.creatorSilvestrov, Sergei
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:52:17Z
dc.date.available2026-07-07T12:52:17Z
dc.descriptionSeveral classes of *-algebras associated to the action of an affine transformation are considered, and an investigation of the interplay between the different classes of algebras is initiated. Connections are established that relate representations of *-algebras, geometry of algebraic surfaces, dynamics of affine transformations, graphs and algebras coming from a quantization procedure of Poisson structures. In particular, algebras related to surfaces being inverse images of fourth order polynomials (in R^3) are studied in detail, and a close link between representation theory and geometric properties is established for compact as well as non-compact surfaces.
dc.identifierhttps://arxiv.org/abs/0903.1925
dc.identifierhttp://arxiv.org/abs/0903.1925
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223251
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16S35; 16G99
dc.titleAffine transformation crossed product like algebras and noncommutative surfaces
dc.typetext

Files

Collections

arXiv