Quaternionic groups in physics

被引:19
|
作者
De Leo, S
Ducati, GC
机构
[1] UNICAMP, Dept Matemat Aplicada, BR-13081970 Campinas, SP, Brazil
[2] Univ Lecce, Dipartimento Fis, I-73100 Lecce, Italy
[3] UFPR, Dept Matemat, BR-81531970 Curitiba, Parana, Brazil
关键词
D O I
10.1023/A:1026626424174
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the left and right action of quaternionic numbers. The standard problems arising in the definitions of transpose, determinant, and trace for quaternionic matrices are overcome. We investigate the possibility of formulating a new approach to quaternionic group theory. Our aim is to highlight the possibility of looking at new quaternionic groups by the use of left and right operators as fundamental step toward a clear and complete discussion of unification theories in physics.
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页码:2197 / 2220
页数:24
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