Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
51/2004

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

Rafal Ablamowicz and Bertfried Fauser

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.

Received:
Aug 22, 2004
Published:
Aug 22, 2004
MSC Codes:
15A66
Keywords:
clifford algebras, grassmann algebras, deformation theory

Related publications

inJournal
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