The Hyperbolic Clifford Algebra of Multivecfors
W. A. Rodrigues Jr., Q. A. G. de Souza

TL;DR
This paper explores the hyperbolic Clifford algebra of multivecfors, providing geometric interpretations, automorphisms, and algebraic properties relevant to hyperbolic spaces and spinor representations.
Contribution
It offers a detailed exposition of hyperbolic Clifford algebra, including geometric insights, automorphisms, and the algebraic structure of spinor-related ideals.
Findings
Introduction of Poincare automorphism (Hodge dual)
Geometric interpretation of vecfors and multivecfors
Analysis of algebraic properties of spinor-representing ideals
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.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Geometric and Algebraic Topology · Mathematics and Applications
