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

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

2002-12-10

arxiv.org/abs/math-ph/0212031v1

Advances in Applied Clifford Algebras, 15 no.2, 2005:157-181

Physics

Mathematical Physics

19 pages, see CIFFORD website atshttp://math.tntech.edu/rafal/

Scientific paper

10.1007/s00006-005-0009-9

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.

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