Spinor representation of Lie algebra for complete linear group
Quantum Physics
2007-05-23 v1
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 representation.
Cite
@article{arxiv.quant-ph/0408180,
title = {Spinor representation of Lie algebra for complete linear group},
author = {C. V. Usenko and B. I. Lev},
journal= {arXiv preprint arXiv:quant-ph/0408180},
year = {2007}
}
Comments
Proceedings of the Fifth International Conference "Symmetry in Nonlinear Mathematical Physics", Kyiv 2003