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Clifford algebra implementations in Maxima. (English) Zbl 1372.65129

This paper represents applications of the Clifford algebra in visualizations of geometric objects, coordinate transformations, derivation of the Green function of the Poisson’s equation and variational problems. Clifford algebra packages of Maxima presented in this work can be successfully used as research tools.

MSC:

65F30 Other matrix algorithms (MSC2010)
68W30 Symbolic computation and algebraic computation
11E88 Quadratic spaces; Clifford algebras
94B27 Geometric methods (including applications of algebraic geometry) applied to coding theory
15A66 Clifford algebras, spinors
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