Finite-dimensional Simple Poisson Modules
Nongkhran Sasom* Author for corresponding; e-mail address: scnongsa@ubu.ac.th
Volume: Vol.39 No.4 (OCTOBER 2012)
Research Article
DOI:
Received: 1 March 2011, Revised: -, Accepted: 2 September 2011, Published: -
Citation: Sasom N., Finite-dimensional Simple Poisson Modules, Chiang Mai Journal of Science, 2012; 39(4): 678-687.
Abstract
We classify the finite-dimensional simple Poisson modules for two Poisson algebras. The first is related to the inveriants for an automorphism of the torus and to the cyclically q-deformed algebra U’q(so3) of [1,2]. We find that there are five d-dimensional simple Poisson modules for each d ≥ 1.