Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras
Publication type: Journal Article
Publication date: 2005-10-01
scimago Q2
wos Q2
SJR: 0.636
CiteScore: 2.5
Impact factor: 1.2
ISSN: 01887009, 16614909
Applied Mathematics
Abstract
CLIFFORD performs various computations in Graßmann and Clifford algebras. It can compute with quaternions, octonions, and matrices with entries in C ℓ (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.
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Metrics
28
Total citations:
28
Citations from 2024:
6
(21.43%)
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Ablamowicz R., FAUSER B. Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras // Advances in Applied Clifford Algebras. 2005. Vol. 15. No. 2. pp. 157-181.
GOST all authors (up to 50)
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Ablamowicz R., FAUSER B. Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras // Advances in Applied Clifford Algebras. 2005. Vol. 15. No. 2. pp. 157-181.
Cite this
RIS
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TY - JOUR
DO - 10.1007/s00006-005-0009-9
UR - https://doi.org/10.1007/s00006-005-0009-9
TI - Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras
T2 - Advances in Applied Clifford Algebras
AU - Ablamowicz, Rafal
AU - FAUSER, BERTFRIED
PY - 2005
DA - 2005/10/01
PB - Springer Nature
SP - 157-181
IS - 2
VL - 15
SN - 0188-7009
SN - 1661-4909
ER -
Cite this
BibTex (up to 50 authors)
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@article{2005_Ablamowicz,
author = {Rafal Ablamowicz and BERTFRIED FAUSER},
title = {Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras},
journal = {Advances in Applied Clifford Algebras},
year = {2005},
volume = {15},
publisher = {Springer Nature},
month = {oct},
url = {https://doi.org/10.1007/s00006-005-0009-9},
number = {2},
pages = {157--181},
doi = {10.1007/s00006-005-0009-9}
}
Cite this
MLA
Copy
Ablamowicz, Rafal, and BERTFRIED FAUSER. “Mathematics of Clifford - a Maple package for Clifford and Graßmann algebras.” Advances in Applied Clifford Algebras, vol. 15, no. 2, Oct. 2005, pp. 157-181. https://doi.org/10.1007/s00006-005-0009-9.