完备线性群李代数的旋量表示
Spinor representation of Lie algebra for complete linear group
摘要：
给出了GL（4，R）群在特殊旋量空间上的旋量表示。表示空间具有以对角度量空间为基础，以标准旋量空间为典型纤维的纤维空间结构。时空的非等距运动需要旋量变换，除了标准的$Spin(4,C)$表示外，旋量变换还可以通过在旋转基上的平移来表示。
英文摘要：
Spinor representation of group GL(4,R) on special spinor space is developed. Representation space has a structure of the fiber space with the space of diagonal metricses as the base and standard spinor space as typical fiber. Non-isometric motions of the space-time entail spinor transformations which are represented by translation over fibering base in addition to standard $Spin(4,C)$ representation.
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