Title	On algebras generated by idempotents
Creator	Segev, Yoav
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-11-17T11:24
Description	Idempotents ($e^2=e$) in (nonassociative commutative) algebras (e.g., Jordan algebras) behave sometimes like involutions in a group. Indeed, in some (very) interesting cases one can associate an involutive automorphism of the algebra to an idempotent. This topic is related to Griess algebras (and the Monster group), Majorana algebras, Axial algebras (and the Fischer groups) and Miyamoto involutions. We explore mostly algebras generated by two idempotents, having in mind groups, and an extension of the results to algebras generated by finitely many idempotents (when possible). Joint work with Louis Rowen.
Extent	29 minutes
Subject	Mathematics; Group theory and generalizations; Topological groups, lie groups; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Ben Gurion University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-05-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0347514
URI	http://hdl.handle.net/2429/61683
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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