论文标题
分裂八元中的狄拉克和麦克斯韦系统
Dirac and Maxwell systems in split octonions
论文作者
论文摘要
讨论了（4+4）空间的8维手性旋转器和载体的已知等效性，也称为试验性。 SO（4,4）和自旋（4,4）组的分裂八元代代表和三线性不变形式是明确编写的，并与Clifford代数矩阵表示形式进行了比较。值得注意的是，可以从三个类似矢量的元素中从moufang和malcev关系中回收分裂基础单元的完整代数。使用组不变形式构建了概括狄拉克和麦克斯韦系统的分裂八世纪领域的拉格兰吉亚人。结果表明，相应的方程与分裂的分析分析条件有关。
The known equivalence of 8-dimensional chiral spinors and vectors, also referred to as triality, is discussed for (4+4)-space. Split octonionic representation of SO(4,4) and Spin(4,4) groups and the trilinear invariant form are explicitly written and compared with Clifford algebraic matrix representation. It is noted that the complete algebra of split octonionic basis units can be recovered from the Moufang and Malcev relations for the three vector-like elements. Lagrangians on split octonionic fields that generalize Dirac and Maxwell systems are constructed using group invariant forms. It is shown that corresponding equations are related to split octonionic analyticity conditions.
