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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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SP Birkhäuser Verlag Basel

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DOI

10.1016/0002-1571(81)90073-x

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1661-4909

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On Polynomial Solutions of Generalized MoisilThéo

Authors: Richard Delanghe Roman Lávička Vladimír Souček
Publish Date: 2010/11/25
Volume: 21, Issue: 3, Pages: 521-530
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Abstract

The aim of the paper is to study relations between polynomial solutions of generalized MoisilThéodoresco GMT systems and polynomial solutions of Hodgede Rham systems and using these relations to describe polynomial solutions of GMT systems We decompose the space of homogeneous solutions of GMT system of a given homogeneity into irreducible pieces under the action of the group Om and we characterize individual pieces by their highest weights and we compute their dimensions

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  2. Geometric Algebra to Model Uncertainties in the Discretizable Molecular Distance Geometry Problem
  3. Half Dirichlet Problems and Decompositions of Poisson Kernels
  4. Differential Operators Associated to the Cauchy-Fueter Operator in Quaternion Algebra
  5. Properties of Solutions to A-Harmonic System and A-Dirac System
  6. Matrix Mechanics of the Relativistic Point Particle and String in Clifford Space
  7. Harmonic Forms on Conformal Euclidean Manifolds: The Clifford Multivector Approach
  8. Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum Mechanics
  9. Operator Identities in q -Deformed Clifford Analysis
  10. Inverse Kinematics for a 6-DOF Walking Humanoid Robot Leg
  11. (1,1)-Forms Acting on Spinors on Kähler Surfaces
  12. Multiplicative Representation of a Hyperbolic non Distributive Algebra
  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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