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2012 Automorphism Groups of Cayley-Dickson Loops
Jenya Kirshtein
J. Gen. Lie Theory Appl. 6: 1-15 (2012).

Abstract

The Cayley-Dickson $Q_n$ loop is the multiplicative closure of basic elements of the algebra constructed by n applications of the Cayley-Dickson doubling process (the first few examples of such algebras are real numbers, complex numbers, quaternions, octonions, and sedenions).We discuss properties of the Cayley-Dickson loops, show that these loops are Hamiltonian, and describe the structure of their automorphism groups.

Citation

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Jenya Kirshtein. "Automorphism Groups of Cayley-Dickson Loops." J. Gen. Lie Theory Appl. 6 1 - 15, 2012.

Information

Published: 2012
First available in Project Euclid: 15 September 2017

zbMATH: 1258.20057
MathSciNet: MR2954624

Rights: Copyright © 2012 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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