DG Poisson algebra and its universal enveloping algebra

DOI10.1007/s11425-016-5127-4zbMath1404.16006arXiv1506.06574OpenAlexW3099703725MaRDI QIDQ295116

Xingting Wang, Guangbin Zhuang, Jia Feng Lü

Publication date: 17 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06574

zbMATH Keywords

universal enveloping algebrasdifferential graded algebrasmonoidal categorydifferential graded Hopf algebrasdifferential graded Lie algebrasdifferential graded Poisson algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Universal enveloping (super)algebras (17B35) Poisson algebras (17B63) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (7)

Cancellation and skew cancellation for Poisson algebras ⋮ The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras ⋮ Homological unimodularity and Calabi-Yau condition for Poisson algebras ⋮ Differential graded vertex operator algebras and their Poisson algebras ⋮ PBW-basis for universal enveloping algebras of differential graded Poisson algebras ⋮ Realization of Poisson enveloping algebra ⋮ Unnamed Item

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