Re: A Brief Comment on Lie Brackets

From: OsherD (mdoctorow_at_comcast.net)
Date: 02/24/05 

Date: 23 Feb 2005 19:22:19 -0800

>>From Osher Doctorow

I'm here for a few minutes and then back on another errand (it's
Pacific time here).

Continuing with the Leibnitz' dream paper, you'll also see there that
every Lie algebra
is representable as a victor algebra and every Lie group as a spin
group, and every
linear transformation is representable as a monomial of geometric
algebra vectors.

Professor Hestenes of Arizona State University (look him up as a
keyword) and the
International Clifford Society have quite a few papers on theory and
applications of
geometric algebra and Clifford algebra, and the dot.research forums
have even gotten into it with less clarity in general. One poster at
sci.physics.research did make a glossary of (mathematical and other)
terminology, which you can find by looking up the sci.physics.research
archives as keywords, but under Lie groups and Lie algebras almost
nothing is said about Lie brackets and there isn't anything elsewhere
in the glosary about them.

I'll try to continue shortly.

Osher Doctorow

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