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A Unifying Framework for Complex-Valued Eigenfunctions via The Cartan Embedding. [PDF]
Gudmundsson S, Lindström A.
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Advances in Applied Clifford Algebras, 2012
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Geometric Reasoning With Geometric Algebra
2001This chapter starts with an introduction to Clifford algebra for Euclidean geometry and shows how geometric theorems can be proved automatically in the Clifford algebra formalism. A short review of available approaches is given and examples are provided.
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Double Conformal Geometric Algebra
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Easter, Robert Benjamin, Hitzer, Eckhard
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Advances in Applied Clifford Algebras, 2018
The authors define the Geometric Algebra for Conics (GAC) as a special Clifford algebra, together with a special embedding of two-dimensional Euclidean space. This is followed by the inner product representations of all the geometric entities available in GAC; these correspond to all possible conic sections and their intersections.
Jaroslav Hrdina +2 more
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The authors define the Geometric Algebra for Conics (GAC) as a special Clifford algebra, together with a special embedding of two-dimensional Euclidean space. This is followed by the inner product representations of all the geometric entities available in GAC; these correspond to all possible conic sections and their intersections.
Jaroslav Hrdina +2 more
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Clifford algebras and geometric algebra
Advances in Applied Clifford Algebras, 1997Let \(R^{p,q}\) be the universal Clifford algebra associated to a real vector space \(\mathbb{R}^n\), \(n=p+q\), equipped with a nondegenerated symmetric bilinear form \(B\) of signature \((p-q)\). Let \({\mathfrak G}\) be the infinite dimensional geometric algebra as introduced by \textit{D. Hestenes} and \textit{G.
Aragón, G. +2 more
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Practical Geometric Modeling Using Geometric Algebra Motors
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lopez Belon, Mauricio Cele +1 more
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Geometric Algebra in Linear Algebra and Geometry
Acta Applicandae Mathematica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pozo, José María, Sobczyk, Garret
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GEOMETRIC EQUIVALENCE OF ALGEBRAS
International Journal of Algebra and Computation, 2001In this paper, we study the geometric equivalence of algebras in several varieties of algebras. We solve some of the problems formulated in [2], in particular, that of geometric equivalence for real-closed fields and finitely generated commutative groups.
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