English

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

Mathematical Physics 2013-01-14 v2 math.MP

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 Clifford product are implemented: 'cmulNUM' - based on Chevalley's recursive formula, and 'cmulRS' - based on non-recursive Rota-Stein sausage. Grassmann and Clifford bases can be used. Properties of reversion in undotted and dotted wedge bases are discussed.

Keywords

Cite

@article{arxiv.math-ph/0212031,
  title  = {Mathematics of CLIFFORD - A Maple package for Clifford and Grassmann algebras},
  author = {Rafal Ablamowicz and Bertfried Fauser},
  journal= {arXiv preprint arXiv:math-ph/0212031},
  year   = {2013}
}

Comments

24 pages, update contains new material included in published version