Construction method for some real division algebras with su(3) as derivation algebra

被引:0
作者
S. Pumplün
机构
[1] University of Nottingham University Park,School of Mathematical Sciences
来源
Israel Journal of Mathematics | 2012年 / 191卷
关键词
Automorphism Group; Division Algebra; Hermitian Form; Multiplication Table; Zero Divisor;
D O I
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中图分类号
学科分类号
摘要
We obtain a family of eight-dimensional unital division algebras over a field F out of a separable quadratic field extension S of F, a three-dimensional anisotropic hermitian form h over S of determinant one and an element c ∈ S× not contained in F. These algebras are not third-power associative.
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页码:307 / 335
页数:28
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