Abstract.
CLIFFORD performs various computations in Graßmann and Clifford algebras. It can compute with quaternions, octonions, and matrices with entries in C ℓ (B) - the Clifford algebra of a vector space V endowed with an arbitrary bilinear form B. Two user-selectable algorithms for the Clifford product are implemented: cmulNUM - based on Chevalley’s recursive formula, and cmulRS - based on a non-recursive Rota-Stein sausage. Graßmann and Clifford bases can be used. Properties of reversion in undotted and dotted wedge bases are discussed.
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Ablamowicz, R., Fauser, B. Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras. Adv. Appl. Clifford Algebras 15, 157–181 (2005). https://doi.org/10.1007/s00006-005-0009-9
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DOI: https://doi.org/10.1007/s00006-005-0009-9