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On hypercomplexifying real forms of arbitrary rank

On hypercomplexifying real forms of arbitrary rank For certain problems involving vector fields, it is possible to find an associated imaginary field that, in conjunction with the first, forms a complex field for which the equation can be solved. This result is generalized to arbitrary Clifford algebras, followed by quaternionic vectors as a special case. All results are shown to reduce to the established method of complexifying vector fields. For simplicity, differential forms are used rather than vector notation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

On hypercomplexifying real forms of arbitrary rank

Advances in Applied Clifford Algebras , Volume 11 (2) – May 27, 2009

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Birkhäuser-Verlag AG
Subject
Physics; Mathematical Methods in Physics; Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
DOI
10.1007/BF03042316
Publisher site
See Article on Publisher Site

Abstract

For certain problems involving vector fields, it is possible to find an associated imaginary field that, in conjunction with the first, forms a complex field for which the equation can be solved. This result is generalized to arbitrary Clifford algebras, followed by quaternionic vectors as a special case. All results are shown to reduce to the established method of complexifying vector fields. For simplicity, differential forms are used rather than vector notation.

Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: May 27, 2009

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