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Title of Journal: Adv Appl Clifford Algebras

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Abbravation: Advances in Applied Clifford Algebras

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Springer Basel

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DOI

10.1016/0002-8703(82)90130-2

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1661-4909

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Multiplicative Representation of a Hyperbolic non

Authors: Manuel FernándezGuasti Felipe Zaldívar
Publish Date: 2014/02/18
Volume: 24, Issue: 3, Pages: 661-674
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Abstract

The multiplicative or polar representation of hyperbolic scator algebra in 1 + n dimensions is introduced The transformations between additive and multiplicative representations are presented The addition and product operations are consistently defined in either representation using additive or multiplicative variables The product is shown to produce a rotation and scaling for equal director components and solely a scaling in the orthogonal components

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Other Papers In This Journal:
  1. Twistors in Geometric Algebra
  2. On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems
  3. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  4. Half Dirichlet Problems and Decompositions of Poisson Kernels
  5. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  6. Properties of Solutions to A-Harmonic System and A-Dirac System
  7. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  8. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  9. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  10. Operator Identities in q -Deformed Clifford Analysis
  11. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  12. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  13. An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
  14. On the Quaternionic B 2 -Slant Helices in the Euclidean Space E 4
  15. The octonions form an Azumaya algebra in certain braided linear Gr-categories
  16. On the Geometry of the Hyperbolic Scator Space in 1+2 Dimensions
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