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Rules of Three for commutation relations

2016/08/17 by Blasiak, Jonah, Fomin, Sergey
#05E05 #05E15 (Secondary) #16S99 (Primary) #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1608.05042

Abstract

We investigate the following surprisingly widespread phenomenon which we call The Rule of Three: in order for a particular kind of commutation relation to hold for subsequences of elements of a ring labeled by any subset of indices, it is enough that these relations hold for subsets of size one, two, and three.

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