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arxiv: math-ph/0703053 · v2 · submitted 2007-03-18 · 🧮 math-ph · math.MP

The Hyperbolic Clifford Algebra of Multivecfors

classification 🧮 math-ph math.MP
keywords hyperbolicalgebracliffordmultivecforselementsvecforswhosealgebraic
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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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