The Hyperbolic Clifford Algebra of Multivecfors

Details The Hyperbolic Clifford Algebra of Multivecfors The Hyperbolic Clifford Algebra of Multivecfors

2007-03-18

arxiv.org/abs/math-ph/0703053v2

Physics

Mathematical Physics

a few misprints and typos have been corrected

Scientific paper

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.

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