NDLI: (Quasi-)Poisson enveloping algebras

Content Provider	Springer Nature Link
Author	Yao, Yuan Yang, Yan Hong Ye, Yu
Copyright Year	2012
Abstract	We introduce the quasi-Poisson enveloping algebra and Poisson enveloping algebra for a non-commutative Poisson algebra. We prove that for a non-commutative Poisson algebra, the category of quasi-Poisson modules is equivalent to the category of left modules over its quasi-Poisson enveloping algebra, and the category of Poisson modules is equivalent to the category of left modules over its Poisson enveloping algebra.
Ending Page	118
Page Count	14
Starting Page	105
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	1
Volume Number	29
Language	English
Publisher	Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Publisher Date	2012-09-20
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Poisson algebras Poisson module Mathematics Smash products of general Hopf actions Non-commutative Poisson algebra Poisson enveloping algebra
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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(Quasi-)Poisson enveloping algebras