Representation of Clifford algebras

asked 2 years ago

cav_rt gravatar image

updated 2 years ago

Is there a way of defining a matrix representation of Clifford algebras in sage?

For example, Cl(3) is isomorphic to M(2,C). Such isomorphism can be implemented by ρ(ei)=σi, where σi are the Pauli matrices.

In general, I would like to define an isomorphism ρ:Cl(V,Q)M(n,K) and go back and forward between elements of Cl(V,Q) and M(n,K).

Is it possible in sage? I didn't find any hint on the documentation.

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