2006/02/28 by J. Arnlind, M. Bordemann, L. Hofer +2 · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.1088/1126-6708/2009/06/047
published as JHEP 0906:047,2009
arxiv created 2006/02/28 · arxiv updated 2009/12/01
We introduce C-Algebras (quantum analogues of compact Riemann surfaces), defined by polynomial relations in non-commutative variables and containing a real parameter that, when taken to zero, provides a classical non-linear, Poisson-bracket, obtainable from a single polynomial C(onstraint) function. For a continuous class of quartic constraints, we explicitly work out finite dimensional representations of the corresponding C-Algebras.