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[Axiom-developer] Re: Clifford Algebra examples:

From: Martin Baker
Subject: [Axiom-developer] Re: Clifford Algebra examples:
Date: Thu, 26 Nov 2009 17:11:17 +0000
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Thanks this looks very useful.

Can I ask about the definitions of the involutions:

gradeInvolution == reversion? sign=(-1)^(d(d-1)/2) symbol= ~
Cliplus clirev == ? symbol=multiply by pseudoscalar? symbol=
Clifford conjugation: scalar part minus non-scalar part? symbol=

I know these are wrong but I just made a guess!

I expect I had better ignore the Spinors for now although I am curious about 
how they should be added on later. Upto now I have thought of spinors as an 
even subalgebra of Clifford algebras? (rotation by 2*pi multiplies by -1) but 
this does not seem to be the case here? Would spinors require a new type of 
multiplication or a new domain?


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