ASKSAGE: Sage Q&A Forum - Individual question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 04 Aug 2015 07:15:50 -0500R-module/algebra valued differential formshttp://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/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.Fri, 31 Jul 2015 01:50:41 -0500http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/Comment by Dox for <p>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.</p>
http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?comment=28755#post-id-28755@david-roberts Once I try to bypass this issue thinking the other way around... and construct matrices with differential forms as entries.Tue, 04 Aug 2015 07:15:50 -0500http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?comment=28755#post-id-28755Comment by David Roberts for <p>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.</p>
http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?comment=28737#post-id-28737There's the related question http://ask.sagemath.org/question/9297/differential-forms-and-tensors/ which asks specifically for the case of Lie algebra-valued forms.Fri, 31 Jul 2015 02:44:20 -0500http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?comment=28737#post-id-28737Answer by eric_g for <p>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.</p>
http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?answer=28744#post-id-28744Yes 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](http://trac.sagemath.org/ticket/14901), which could be used for this purpose.Sat, 01 Aug 2015 04:12:14 -0500http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?answer=28744#post-id-28744Comment by David Roberts for <p>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 <a href="http://trac.sagemath.org/ticket/14901">http://trac.sagemath.org/ticket/14901</a>, which could be used for this purpose.</p>
http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?comment=28747#post-id-28747@eric_g thanks for pointing that out.Sun, 02 Aug 2015 07:43:34 -0500http://ask.sagemath.org/question/28736/r-modulealgebra-valued-differential-forms/?comment=28747#post-id-28747