The special linear group for nonassociative rings

2018/07/13 by Petyt, Harry
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1807.05227

Abstract

We extend to arbitrary rings a definition of the octonion special linear group due to Baez. At the infinitesimal level we get a Lie ring, which we describe over some large classes of rings, including all associative rings and all algebras over a field. As a corollary we compute all the groups Baez defined.

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