On hypercomplexifying real forms of arbitrary rank
微分几何
2007-05-23 v1
摘要
For certain problems involving vector fields, it is possible to find an associated imaginary field that, in conjunction with the first, forms a complex field for which the equation can be solved. This result is generalized to arbitrary Clifford algebras, followed by quaternionic vectors as a special case. All results are shown to reduce to the established method of complexifying vector fields. For simplicity, differential forms are used rather than vector notation.
引用
@article{arxiv.math/0209396,
title = {On hypercomplexifying real forms of arbitrary rank},
author = {Dennis Hou},
journal= {arXiv preprint arXiv:math/0209396},
year = {2007}
}
备注
5 pages