Title	A generalization of the Nakayama functor
Creator	Kvamme, Sondre
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-05T16:34
Description	We introduce the notion of a Nakayama functor relative to an adjunction, generalizing the classical Nakayama functor for a finite-dimensional algebra. We show that it can be characterized in terms of an ambidextrous adjunction of monads and comonads. We also study this concept from the viewpoint of Gorenstein homological algebra. In particular we obtain a generalization of the equality of the left and right injective dimension for a finite-dimensional Iwanaga-Gorenstein algebra, and for a module category we show that this property can also be characterized by the existence of a tilting module.
Extent	29.0 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université Paris-Saclay
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-03-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388859
URI	http://hdl.handle.net/2429/73677
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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