Cadabra
a field theory motivated approach to computer algebra

GammaMatrix

A generalised generator of a Clifford algebra.
A generalised generator of a Clifford algebra. With one vector index, it satisfies \begin{equation} \{ \Gamma^m, \Gamma^n \} = 2\,\eta^{mn}\,. \end{equation} The objects with more vector indices are defined as \begin{equation} \Gamma^{m_1... m_n} = \Gamma^{[m_1}\cdots \Gamma^{m_n]}\,, \end{equation} where the anti-symmetrisation includes a division by $n!$. If you intend to use the join_gamma algorithm, you have to add a key/value pair metric to set the name of the tensor which acts as the unit element in the Clifford algebra.
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