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[Axiom-developer] Re: Clifford Algebra presentation

From: root
Subject: [Axiom-developer] Re: Clifford Algebra presentation
Date: Thu, 31 Mar 2005 07:24:14 -0500


>Paul Leopardi wrote

>Thanks for the email message. You have my permission to quote. Apart from the 
>references to my presentation, you may want to consider the following work:

>Pertti Lounesto, "Introduction to Clifford algebras," in Lectures on Clifford 
>(geometric) algebras and applications, 1--29, Birkhäuser Boston, Boston, MA, 

Thanks for the permission and references.

>I do have a reviewed paper which contains similar content and much more. It is
>Paul Leopardi, "A generalized FFT for Clifford algebras", Bull. Belg. Math. 
>Soc. Simon Stevin  11 (2005), no. 5, 663-688

I saw your FFT paper which is quite interesting for another idea 
unrelated to the clifford algebra work. If I get the time I'll look
at that paper also.

I'm working with Bertfried Fauser to try and upgrade Axiom's clifford
algebra package. Since I'm not a domain expert I've been trying to
learn the material by documenting the existing code. Once I get a
good explanation of the existing work I'll be in a much stronger
position to make progress. Plus it is important to marry the literature
with the source code. This will strengthen both in the long run as the
literature makes the theory available and the code is the reduction to

I've picked up a book by Chris Doran and Anthony Lasenby "Geometric
Algebra for Physicists" Cambridge University Press 2003 ISBN 0-521-48022-1
which has sent me off into learning a bit of physics so I can understand
it better. But it is a useful book.

Clifford algebras seem to be a very hot topic among the physicists
these days so it's important to build support for this ability in axiom.
Since I'm not a physicist by training I've had to go learn a bit about
the wave equation, feynman diagrams, etc. in order to make (somewhat
glacial) progress.

Do you happen to have an email address for Pertti?

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