Abstract
In 1979, Bernstein, Gelfand, and Gelfand described a duality between certain parts of the derived categories of the symmetric and exterior algebras. This type of duality, called Koszul duality, has since been observed in various contexts. After introducing the necessary homological algebra, we formulate this phenomenon as a differential graded version of Morita theory, and present Koszul duality for a polynomial ring in one variable. We then present some evidence (on the level of characters) of such a self-duality in the principal block of category \(\mathcal {O}\).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
