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Tallak Manum

May 20, 2021

Tittel: A homological approach to the Poincaré-Birkhoff-Witt theorem

Veileder: Markus Szymik

Sammendrag: The goal of this thesis is to develop some tools including Hochschild cohomology, filtered and graded algebras and algebraic deformation theory in order to take a conceptual approach to proving the Poincare-Birkoff-Witt(PBW) theorem. The thesis will follow the proof of a generalized version of the theorem given in [BG96] and [Wit19].