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Finite-dimensional Simple Poisson Modules


Paper Type 
Contributed Paper
Title 
Finite-dimensional Simple Poisson Modules
Author 
Nongkhran Sasom
Email 
scnongsa@ubu.ac.th
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.

Start & End Page 
678 - 687
Received Date 
2011-03-01
Revised Date 
Accepted Date 
2011-09-02
Full Text 
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Keyword 
poisson algebras, poisson ideal, poisson maximal ideal and poisson automorphism
Volume 
Vol.39 No.4 (OCTOBER 2012)
DOI 
Citation 
Sasom N., Finite-dimensional Simple Poisson Modules, Chiang Mai J. Sci., 2012; 39(4): 678-687.
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Chiang Mai Journal of Science

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