Spinor representation of Lie algebra for complete linear group

Physics – Quantum Physics

Scientific paper

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Proceedings of the Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv 2003

Scientific paper

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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