Representations of Spin(4), Spin(2,2) and Spin(3,1)
Mathematical Physics
2016-07-27 v1 math.MP
Abstract
In this essay we present an outer product on R^6, and we show that R^6 with this outer product can take three kinds of Lie brackets. We prove that R^6 with these Lie brackets take the structures of so(4), so(2,2) and so(3,1). We also deduce a 4-dimensional submanifold of R^6 with an almost complex structure.
Keywords
Cite
@article{arxiv.1607.07490,
title = {Representations of Spin(4), Spin(2,2) and Spin(3,1)},
author = {Ali Delbaznasab and MohammadReza Molaei},
journal= {arXiv preprint arXiv:1607.07490},
year = {2016}
}