ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Thu, 14 Apr 2022 22:23:12 +0200Representation of Clifford algebrashttps://ask.sagemath.org/question/61973/representation-of-clifford-algebras/Is there a way of defining a matrix representation of Clifford algebras in sage?
For example, $Cl(3)$ is isomorphic to $M(2,\mathbb{C})$. Such isomorphism can be implemented by $\rho(e_i) = \sigma_i$, where $\sigma_i$ are the [Pauli matrices](https://en.wikipedia.org/wiki/Pauli_matrices).
In general, I would like to define an isomorphism $\rho :Cl(V,Q) \to M(n,\mathbb{K})$ and go back and forward between elements of $Cl(V,Q)$ and $M(n,\mathbb{K})$.
Is it possible in sage? I didn't find any hint on the documentation.Thu, 14 Apr 2022 22:23:12 +0200https://ask.sagemath.org/question/61973/representation-of-clifford-algebras/