Generalized Bicomplex Numbers and Lie Groups
Differential Geometry
2014-02-28 v1
Abstract
In this paper, we denone the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R42 are Lie groups by using generalized bicomplex number product and obtain Lie algebras of these Lie groups. Morever, by using tensor product surfaces, we determine some special Lie subgroups of these hyperquadrics.
Cite
@article{arxiv.1402.6812,
title = {Generalized Bicomplex Numbers and Lie Groups},
author = {Sıddıka Özkaldı Karakuş and Ferdağ Kahraman Aksoyak},
journal= {arXiv preprint arXiv:1402.6812},
year = {2014}
}
Comments
thank you