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A Poincaré-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras

Published 1 Apr 2018 in math.RA and math.RT | (1804.00254v1)

Abstract: We prove a version of the Poincar\'e-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras in which their symmetric and universal enveloping algebras are replaced with appropriate formal analogues and discuss some immediate corollaries of this result.

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