Subject: algebra on the cube?
Date: Tue, 13 Aug 2002 08:27:54 -0600 (MDT)
From: "Aime' Fournier"
Dear Algebraic Topology Discussion List,
I am looking for information and references for
algebra on the cube. I'm having a hard time
finding stuff on the web, perhaps because I don't
know how to keyword my problem. I want to define
"vectors" u(l,m,n), n=1:6, l,m=1:M on 6 cube
faces (e.g. the n'the face) with M*M components
on each face (say M nodes in each of 2 face-plane
directions l and m), and operators ("matrices")
A(l,l',m,m';n,n') and a product such that A*(B*u)
= (A*B)*u etc. I'm sure there are many ways to
do this, but I am interested in particular in
using indexes i,j,k=1:4*M along the 3 "loops"
around the cube that cross each cube face in
pairs, that is, loops that in some sense run along
the edges of the octahedron "dual" to the cube.
Any leads please? Please reply to
fournier@atmos.umd.edu.
Aime'
--
Aime' Fournier 303-497-1614
www.cgd.ucar.edu/gds/fournier (fax 303-497-1700)
National Center for Atmospheric Research
PO Box 3000, Boulder CO 80307-3000 USA