I know one can work with real differential forms using SageManifolds, but what are the chances one can use out of the box code to extend to values in some vector space, or better, algebra? I'm thinking matrix Lie algebras, so one could work quite concretely, rather than over some abstract module.
Yes this would be a nice extension of what is currently available in SageManifolds. Consider it is on the todo list ;-). Note that there is also some development work around Lie algebras http://trac.sagemath.org/ticket/14901, which could be used for this purpose.
@eric_g thanks for pointing that out.
Asked: 9 years ago
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Last updated: Jul 31 '15
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There's the related question http://ask.sagemath.org/question/9297... which asks specifically for the case of Lie algebra-valued forms.
@david-roberts Once I try to bypass this issue thinking the other way around... and construct matrices with differential forms as entries.