Title	Categorification of Verma Modules, tensor products and the Temperley-Lieb algebra
Creator	Vaz, Pedro
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-12-02T11:11
Description	In this talk I will review the program of categorification of Verma modules of symmetrizable quantum Kac-Moody algebras and extend it to a categorification of tensor products of a Verma module and several integrable irreducibles. In the last part of the talk I will consider the case of $\mathfrak{sl}(2)$ and explain how its categorifications are endowed with an action of the Temperley-Lieb algebra of type B with two parameters. The material presented is based upon several collaborations with GrÃ©goire Naisse, Ruslan Maksimau and Abel Lacabanne.
Extent	67.0 minutes
Subject	Mathematics; Nonassociative rings and algebras; Category theory; homological algebra; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université catholique de Louvain
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-05-31
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0391067
URI	http://hdl.handle.net/2429/74611
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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