Koszul Algebras and Koszul Duality

Title: Koszul Algebras and Koszul Duality
Authors: Wu, Gang
Date: 2016
Abstract: In this thesis, we present a detailed exposition of Koszul algebras and Koszul duality. We begin with an overview of the required concepts of graded algebras and homological algebra. We then give a precise treatment of Koszul and quadratic algebras, together with their dualities. We fill in some arguments that are omitted in the literature and work out a number of examples in full detail to illustrate the abstract concepts.
URL: http://hdl.handle.net/10393/35197
CollectionThèses, 2011 - // Theses, 2011 -
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