On 12/15/11 7:38 AM, adsmith wrote:
Hi everyone,

I am in need of a package to carry out computations in exterior
algebra, differential ideals, and various aspects of the Cartan--
Kähler theorem.

I have used Jeanne Clelland's "Cartan" package for Maple[1]
extensively, and I have been thinking about reproducing it in sage
(with Jeanne's blessing).  I am new to sage but very experienced in
python and capable of producing an adequate solution for myself and my
immediate colleagues.  But, before I jump headlong into it, I was
wondering whether anyone else working on similar packages.  Basic
functionality for
alternating forms in a coordinate-free manner is the first
infrastructure I'd be looking for, analogous to "difforms" in Maple,
or the "Forms" package by Yu&  Clelland [1].


[1]: http://euclid.colorado.edu/~jnc/Maple.html


I'm not an expert in the area, but is http://www.sagemath.org/doc/reference/tensor.html useful to you? You can see from http://trac.sagemath.org/sage_trac/ticket/9650 some of the people involved in that code.

Thanks,

Jason



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