Title	Subalgebras generated by idempotents (joint work with Yoav Segev)
Creator	Rowen, Louis
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-13T14:37
Description	In 1981, Laffey described subalgebras of associative algebras generated by two idempotents, and showed that central simple algebras (other than division algebras) can be generated by three idempotents. We describe his structure more precisely, as a direct product of Azumaya algebras and a PI-algebra satisfying the identity $(xy - yx)^n,$ and, following an idea of Shestakov, show that Jordan subalgebras of a finite dimensional algebra generated by $n$ completely primitive idempotents algebraic are of dimension $\le 2^n -1.$
Extent	29 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Bar Ilan University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343184
URI	http://hdl.handle.net/2429/60896
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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