vix.ing · top · new · best · stats · spec

Spinor representation of Lie algebra for complete linear group

2004/08/30 by C. V. Usenko, Usenko, C. V., B. I. Lev +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0408180

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

arxiv created 2004/08/30 · arxiv updated 2009/12/01

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.

Related