On Koszul duality between polynomial and exterior algebras
Date
2023-01
Authors
Heenwalle Gedara, Fatima Ahmed Aboalkasem
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Graduate Studies and Research, University of Regina
Abstract
In this thesis we will study Ext-algebras over a polynomial and exterior algebra. We prove the classical fact that the Ext-algebra over a polynomial algebra is exterior and the Ext-algebra over an exterior algebra is polynomial, using the tautological Koszul complex. We also give a proof using Koszul duality for algebras.
Description
A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. v, 87 p.