Mathematics of CLIFFORD - A Maple package for Graßmann and Clifford algebras
Rafal Ablamowicz and Bertfried Fauser
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Submission date: 22. Aug. 2004
published in: Advances in applied Clifford algebras, 15 (2005) 2, p. 157-181
DOI number (of the published article): 10.1007/s00006-005-0009-9
with the following different title: Mathematics of Clifford : a Maple package for Clifford and Graßmann algebras
Keywords and phrases: clifford algebras, grassmann algebras, deformation theory
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CLIFFORD performs various computations in Graßmann and Clifford algebras. It can compute with quaternions, octonions, and matrices with entries in Cl(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.