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Realization of Poisson enveloping algebra 被引量:1
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作者 Can ZHU Yaxiu WANG 《Frontiers of Mathematics in China》 SCIE CSCD 2018年第4期999-1011,共13页
For a Poisson algebra, the category of Poisson modules is equivalent to the module category of its Poisson enveloping algebra, where the Poisson enveloping algebra is an associative one. In this article, for a Poisson... For a Poisson algebra, the category of Poisson modules is equivalent to the module category of its Poisson enveloping algebra, where the Poisson enveloping algebra is an associative one. In this article, for a Poisson structure on a polynomial algebra S, we first construct a Poisson algebra R, then prove that the Poisson enveloping algebra of S is isomorphic to the specialization of the quantized universal enveloping algebra of R, and therefore, is a deformation quantization of R. 展开更多
关键词 Poisson enveloping algebra quantized universal enveloping algebra deformation quantization
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