Finite-dimensional Simple Poisson Modules

被引：0

作者：

Sasom, Nongkhran ^{[1
]}

机构：

[1] Ubon Ratchathani Univ, Fac Sci, Dept Math Stat & Comp, Khon Kaen 34190, Thailand

来源：

CHIANG MAI JOURNAL OF SCIENCE | 2012年 / 39卷 / 04期

关键词：

poisson algebras; poisson ideal; poisson maximal ideal and poisson automorphism; ALGEBRA; REPRESENTATIONS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We classify the finite-dimensional simple Poisson modules for two Poisson algebras. The first is related to the invariants for an automorphism of the torus and to the cyclically q-deformed algebra U-q' (so(3)) of [1,2]. We find that there are five d-dimensional simple Poisson modules for each d >= 1. The second is the Poisson algebra arising from the quantized enveloping algebra U-q(sl(2)) using a presentation discovered by Ito, Terwilliger and Weng [3] and we find that there are two d-dimensional simple Poisson modules for each d >= 1.

引用

页码：678 / 687

页数：10

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