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MiS Preprint

Mathematics of CLIFFORD - A Maple package for Graßmann and Clifford algebras

Rafal Ablamowicz and Bertfried Fauser


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.

MSC Codes:
clifford algebras, grassmann algebras, deformation theory

Related publications

2005 Repository Open Access
Rafal Ablamowicz and Bertfried Fauser

Mathematics of Clifford : a Maple package for Clifford and Graßmann algebras

In: Advances in applied Clifford algebras, 15 (2005) 2, pp. 157-181