Koszul Algebras and Koszul Duality

dc.contributor.authorWu, Gang
dc.contributor.supervisorSavage, Alistair
dc.date.accessioned2016-09-21T18:35:57Z
dc.date.available2016-09-21T18:35:57Z
dc.date.issued2016
dc.description.abstractIn 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.en
dc.identifier.urihttp://hdl.handle.net/10393/35197
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-155
dc.language.isoenen
dc.publisherUniversité d'Ottawa / University of Ottawaen
dc.subjectKoszul algebrasen
dc.subjectQuadratic algebrasen
dc.subjectKoszul duality.en
dc.titleKoszul Algebras and Koszul Dualityen
dc.typeThesisen
thesis.degree.disciplineSciences / Scienceen
thesis.degree.levelMastersen
thesis.degree.nameMScen
uottawa.departmentMathématiques et statistique / Mathematics and Statisticsen

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