2016
DOI: 10.12988/ija.2016.51167
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A note on the real division algebras with non-trivial derivations

Abstract: We show that every 4-dimensional real division algebra having non-zero derivations is obtained from the real algebra C by a special kind of duplication process accompanied by an appropriate isotopy. Also this process produces new examples in dimension 8.

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Cited by 4 publications
(1 citation statement)
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“…In [6], another approach has been proposed for the study of a RDA using its Lie algebra of derivations. This approach leads to some partial results [7,34,23,31,16,2]. One can also find some studies in dimension 4 in [10, (15.7), p. 179] and [3,4,38].…”
Section: Introductionmentioning
confidence: 84%
“…In [6], another approach has been proposed for the study of a RDA using its Lie algebra of derivations. This approach leads to some partial results [7,34,23,31,16,2]. One can also find some studies in dimension 4 in [10, (15.7), p. 179] and [3,4,38].…”
Section: Introductionmentioning
confidence: 84%