Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 4 (2008), 063, 4 pages      arXiv:0809.2174      http://dx.doi.org/10.3842/SIGMA.2008.063
Contribution to the Special Issue “Élie Cartan and Differential Geometry”

Exterior Differential Systems for Yang-Mills Theories

Frank B. Estabrook
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA

Received July 18, 2008, in final form September 03, 2008; Published online September 12, 2008

Abstract
Exterior differential systems are given, and their Cartan characters calculated, for Maxwell and SU(2)-Yang-Mills equations in dimensions from three to six.

Key words: exterior differential systems; Cartan characters; Maxwell equations; SU(2)-Yang-Mills equations.

pdf (138 kb)   ps (113 kb)   tex (7 kb)

The Mathematica suite of programs AVF (Algebra Valued Forms) by H.D. Wahlquist:   source (208 kb)


References

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