Relationship Graphs of Real Cayley–Dickson Algebras
- 作者: Guterman A.1,2, Zhilina S.1
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隶属关系:
- Lomonosov Moscow State University
- Moscow Institute of Physics and Technology (State University)
- 期: 卷 240, 编号 6 (2019)
- 页面: 733-753
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242827
- DOI: https://doi.org/10.1007/s10958-019-04390-y
- ID: 242827
如何引用文章
详细
The paper studies the anticommutativity condition for elements of arbitrary real Cayley–Dickson algebras. As a consequence, the anticommutativity graphs on equivalence classes of such algebras are classified. Under some additional assumptions on the algebras considered, an expression for the centralizer of an element in terms of its orthogonalizer is obtained. Conditions sufficient for this interrelation to hold are provided. Also examples of real Cayley–Dickson algebras in which the centralizer and orthogonalizer of an element are not interrelated in this way are considered.
作者简介
A. Guterman
Lomonosov Moscow State University; Moscow Institute of Physics and Technology (State University)
编辑信件的主要联系方式.
Email: guterman@list.ru
俄罗斯联邦, Moscow; Dolgoprudny, Moscow Region
S. Zhilina
Lomonosov Moscow State University
Email: guterman@list.ru
俄罗斯联邦, Moscow