On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems

Richard Delanghe; Roman Lávička; Vladimír Souček

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On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems

机译：广义Moisil-Théodoresco系统和Hodge-de Rham系统的多项式解

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The aim of the paper is to study relations between polynomial solutions of generalized Moisil-Théodoresco (GMT) systems and polynomial solutions of Hodge-de 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 O(m) and we characterize individual pieces by their highest weights and we compute their dimensions.

机译：本文的目的是研究广义Moisil-Théodoresco（GMT）系统的多项式解与Hodge-de Rham系统的多项式解之间的关系，并使用这些关系来描述GMT系统的多项式解。我们在O（m）组的作用下，将给定同质性的GMT系统的均质解的空间分解为不可约片，并通过最大权重来表征单个片，并计算它们的尺寸。

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《Advances in Applied Clifford Algebras》 |2011年第3期|p.521-530|共10页
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Richard Delanghe; Roman Lávička; Vladimír Souček;
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1. On Polynomial Solutions of Generalized Moisil-Th,odoresco Systems and Hodge-de Rham Systems [J] . Delanghe R, Lavicka R, Soucek V Advances in applied Clifford algebras . 2011,第3期

机译：广义Moisil-Th，odoresco系统和Hodge-de Rham系统的多项式解
2. On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space [J] . Delanghe Richard Cubo : A Mathematical Journal . 2010,第2期

机译：欧氏空间中广义Moisil-Théodoresco系统的齐次多项式解
3. Generalized Moisil-Théodoresco Systems and Cauchy Integral Decompositions [J] . Ricardo Abreu Blaya, Juan Bory Reyes, Richard Delanghe, International journal of mathematics and mathematical sciences . 2008,第3期

机译：广义Moisil-Théodoresco系统和柯西积分分解
4. On Hodge-de Rham Systems in Hyperbolic Clifford Analysis [C] . Sirkka-Liisa Eriksson, Heikki Orelma International Conference of Numerical Analysis and Applied Mathematics . 2014

机译：在双曲线克利福德分析中的Hodge-de rham系统
5. A solution method for zero dimensional polynomial equation systems and a pose-free framework for the robust solution of the structure from motion problem. [D] . Zhang, Ji. 2009

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7. On polynomial solutions of generalized Moisil-Théodoresco systems and Hodge-de Rham systems [O] . Delanghe Richard, Lávička Roman, Souček Vladimír 2011

机译：关于广义moisil-Théodoresco系统和Hodge-de Rham系统的多项式解
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On Polynomial Solutions of Generalized Moisil-Théodoresco Systems and Hodge-de Rham Systems

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