数学与计算机科学 |
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n次微分分次Poisson代数的泛包络代数 |
朱卉, 吴学超, 陈淼森 |
浙江师范大学 数学系, 浙江 金华 321004 |
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The universal enveloping algebras of n-differential graded Poisson algebras |
ZHU Hui, WU Xuechao, CHEN Miaosen |
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, China |
[1] LYU J F, WANG X, ZHUANG G. Universal enveloping algebras of differential graded Poisson algebras[J]. Eprint Arxiv, 2014, arXiv:1403.3130.2014. [2] ROITMAN M. Universal enveloping conformal algebras[J]. Selecta Mathematica,2000,6(3):319-345. [3] CATTANEO A S, FIORENZA D, LONGONI R. Graded Poisson algebras[J]. Encyclopedia of Mathematical Physics,2006(2):560-567. [4] OH S Q. Poisson enveloping algebras[J]. Communications in Algebra,1999,27:2181-2186. [5] OH S Q, PARK C G, SHIN Y Y. A Poincaré-Birkhoff-Witt theorem for Poisson enveloping algebras[J]. Communications in Algebra,2002,30(10):4867-4887. [6] BAO Y H, LI H. Notes on Poisson enveloping algebras[J]. Journal of Anhui University:Natural Science Edition,2013,37(1):23-27. [7] UMIRBAEV U. Universal enveloping algebras and universal derivations of Poisson algebras[J]. Journal of Algebra,2012,354(1):77-94. [8] BECK K A, SATHER-WAGSTAFF S. A somewhat gentle introduction to differential graded commutative algebra[C]// Connections Between Algebra, Combiatorics, and Geometry Spinger Proceedings in Mathematics and Statistics,2014,76:3-99.http://arxiv.org/abs/1307.0369. [9] 吴学超,朱卉,陈淼森.n次微分分次Poisson代数的张量积[J]. 浙江大学学报:理学版,2015,42(4):391-395. WU Xuechao, ZHU Hui, CHEN Miaosen. The tensor product of n-differential graded Poisson algebras[J]. Journal of Zhejiang University:Science Edition,2015,42(4):391-395. |
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