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

Rafal Ablamowicz and Bertfried Fauser

Contact the author: Please use for correspondence this email.
Submission date: 22. Aug. 2004
Pages: 28
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
Bibtex
with the following different title: Mathematics of Clifford : a Maple package for Clifford and Graßmann algebras
MSC-Numbers: 15A66
Keywords and phrases: clifford algebras, grassmann algebras, deformation theory
Download full preprint: PDF (261 kB), PS ziped (253 kB)

Abstract:
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.