Octonionic representations of GL(8,R) and GL(4,C)
Octonionic representations of GL(8,R) and GL(4,C)
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GL(8,R) 和 GL(4,C) 的八元表示
DOI：
10.1063/1.531879
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发表时间：
1996
影响因子：
1.3
通讯作者：
K. Abdel
中科院分区：
文献类型：
--
作者：
S. Leo;K. Abdel
Octonionic algebra being nonassociative is difficult to manipulate. We introduce left/right octonionic barred operators which enable us to reproduce the associative GL(8,R) group. Extracting the basis of GL(4,C), we establish an interesting connection between the structure of left/right octonionic barred operators and generic 4×4 complex matrices. As an application we give an octonionic representation of the four-dimensional Clifford algebra.
