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Centers of Universal Enveloping Algebras

open access: yes
The universal enveloping algebra $U(\mathfrak{g} )$ of a current (super)algebra or loop (super)algebra $\mathfrak{g} $ is considered over an algebraically closed field $\mathbb{K} $ with characteristic $p\ge 0$. This paper focuses on the structure of the center $Z(\mathfrak{g} )$ of $U(\mathfrak{g} )$. In the case of zero characteristic, $Z(\mathfrak{g}
Yang, Yaping, Zeng, Daihao
openaire   +2 more sources

Universal enveloping algebras for Malcev color algebras

open access: yes, 2015
In this paper we give a construction of the universal enveloping algebra of a Malcev algebra in categories of group algebra comodules with a symmetry given by a bicharacter of the group. A particular example of such categories is the category of super vector spaces.
openaire   +2 more sources

Universal Enveloping Algebras of Braided m-Lie Algebras [PDF]

open access: green, 2010
Lingwei Guo   +2 more
openalex   +1 more source

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