The Hyperbolic Clifford Algebra of Multivecfors
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
In this paper we give a thoughtful exposition of the hyperbolic Clifford algebra of multivecfors which is naturally associated with a hyperbolic space, whose elements are called vecfors. Geometrical interpretation of vecfors and multivecfors are given. Poincare automorphism (Hodge dual operator) is introduced and several useful formulas derived. The role of a particular ideal in the hyperbolic Clifford algebra whose elements are representatives of spinors and resume the algebraic properties of Witten superfields is discussed.
Cite
@article{arxiv.math-ph/0703053,
title = {The Hyperbolic Clifford Algebra of Multivecfors},
author = {W. A. Rodrigues and Q. A. G. de Souza},
journal= {arXiv preprint arXiv:math-ph/0703053},
year = {2007}
}
Comments
a few misprints and typos have been corrected