Re: Programming languages for the very young

From: Frank A. Adrian (fadrian_at_ancar.org)
Date: 01/23/04 

Date: Fri, 23 Jan 2004 09:39:30 -0800

On Thu, 22 Jan 2004 22:46:50 +0000, Gareth McCaughan wrote:

> "Geometric algebra" has nothing to do with that. It's a
> generalization of complex numbers, quaternions, octonions,
> etc, to arbitrary 2^n-dimensional spaces; it's substantially
> the same thing as what pure mathematicians usually call
> "exterior algebra" but expressed in different language
> and formalism. The complex numbers are a (the) 2-dimensional
> geometric algebra.

Are you talking about Clifford Algebra or basic operator algebra over
exterior products on forms of various dimensionality? If it's the latter,
you might want to look at the former, as it subsumes the latter as a
special case and is way cool, too. For a primer, you might want to check
out a few of John Baez's semi-regular columns "This Week's Finds in
Mathematical Physics" found at http://math.ucr.edu/home/baez.

faa

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