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Spinor representation of Lie algebra for complete linear group

C. V. Usenko·B. I. Lev
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Abstract

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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C. V. Usenko, B. I. Lev. 2004-08-30. Spinor representation of Lie algebra for complete linear group. https://arxiv.org/abs/quant-ph/0408180

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