From: Frank Iannarilli on
Hi,

Lots of folks continue to look for this capability as an existing
package. I suppose the existing tensor algebra/differential forms/
Grassmann algebra packages might be coerced by the knowledgeable, but
for those of us just wanting plain old vectors and matrices, check
out:

http://www.ms.hum.titech.ac.jp/sumopack/sumopack.zip

by Shin-ichi Mayekawa

which I found via

http://bm.hus.osaka-u.ac.jp/~taco/lecture/2009/mayekawa/IMPS2006_1.ppt

Comments/feedback to the group would be helpful!