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Irreducible Decomposition of Products of 10-D Chiral Sigma Matrices

J. Gates
B. Radak
Journal / Anthology

Computer Physics Communications
Year: 2001
Volume: 136
Page range: 173-181

We review the enveloping algebra of the 10-dimensional chiral sigma matrices. To facilitate he computation of the product of several chiral sigma matrices we have developed a symbolic program. Using this program one can reduce the multiplication of the sigma matrices down to linear combinations of irreducible elements. We are able to quickly derive several identities that are not restricted to traces. A copy of the program written in the Mathematica language is provided for the community.

*Mathematics > Calculus and Analysis > Differential Geometry
*Science > Physics > Quantum Physics
*Science > Physics > Relativity Theory