Universal Enveloping Algebras of Poisson Superalgebras

Autor:	Lamkin, Thomas
Rok vydání:	2021
Předmět:	Mathematics - Rings and Algebras 17B63 17B60 17B35 16T05
Druh dokumentu:	Working Paper
Popis:	In this paper, we define and study the universal enveloping algebra of a Poisson superalgebra. In particular, a new PBW Theorem for Lie-Rinehart superalgebras is proved leading to a PBW Theorem for Poisson superalgebras, we show the universal enveloping algebra of a Poisson Hopf superalgebra (resp. Poisson-Ore extension) is a Hopf superalgebra (resp. iterated Ore extension), and we study the universal enveloping algebra for interesting classes of Poisson superalgebras such as Poisson symplectic superalgebras. Comment: Reorganization of paper and further improvements to writing
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.06895 Zobrazit plný text záznamu View this record from Arxiv