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PBW property for associative universal enveloping algebras over an operad
[article]
2020
arXiv
pre-print
Given a symmetric operad P and a P-algebra V, the associative universal enveloping algebra U_P is an associative algebra whose category of modules is isomorphic to the abelian category of V-modules. We study the notion of PBW property for universal enveloping algebras over an operad. In case P is Koszul a criterion for the PBW property is found. A necessary condition on the Hilbert series for P is discovered. Moreover, given any symmetric operad P, together with a Gröbner basis G, a condition
arXiv:1807.05873v3
fatcat:gms4bp43xnhb7km773bq42vztu