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### Defining Clifford Algebras

Dear all.

I'm a high energy physicist, interested in using SAGE for manipulations of Clifford algebras.

Being accustomed to the architecture of SAGE, I believe that the fundamental structures of these algebras is defined somewhere (probably as an algebra with basis).

Question(s)

• How could I define the Clifford algebra structure from the basis elements?

• Is it possible to manipulate the order of terms like $v w u \to u v w$ ?

Thank you.