Classification of the four-dimensional power-commutative real division algebras
Classification of the four-dimensional power-commutative real division algebras
复制标题
四维幂交换实除代数的分类
DOI：
10.1017/s0308210510000259
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Abdellatif Rochdi
中科院分区：
文献类型：
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作者：
Erik Darpoe;Abdellatif Rochdi
A classification of all four-dimensional power-commutative real division algebras is given. It is shown that every four-dimensional power-commutative real division algebra is an isotope of a particular kind of a quadratic division algebra. The description of such isotopes in dimensions four and eight is reduced to the description of quadratic division algebras. In dimension four, this leads to a complete and irredundant classification. As a special case, the finite-dimensional power-commutative real division algebras that have a unique non-zero idempotent are characterized.
