ASKSAGE: Sage Q&A Forum - Individual question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Tue, 19 May 2015 09:03:45 -0500Differential forms and tensorshttps://ask.sagemath.org/question/9297/differential-forms-and-tensors/Dear all,
A long time ago I was trying to implement a SAGE code for working with [Differential Forms with values in a certain Lie algebra](http://doxdrum.wordpress.com/2011/02/10/sage-tip-creating-a-class-for-non-abelian-forms/), but due to my lack of programming knowledge, I couldn't.
This kind of objects are important for working with *non-Abelin gauge theories*.
**Question**
Is it possible to define and work with those objects?
So far there is no reference of it in the manual.
Thank you!Wed, 05 Sep 2012 08:48:24 -0500https://ask.sagemath.org/question/9297/differential-forms-and-tensors/Comment by benjaminfjones for <p>Dear all,</p>
<p>A long time ago I was trying to implement a SAGE code for working with <a href="http://doxdrum.wordpress.com/2011/02/10/sage-tip-creating-a-class-for-non-abelian-forms/">Differential Forms with values in a certain Lie algebra</a>, but due to my lack of programming knowledge, I couldn't. </p>
<p>This kind of objects are important for working with <em>non-Abelin gauge theories</em>.</p>
<p><strong>Question</strong></p>
<p>Is it possible to define and work with those objects?</p>
<p>So far there is no reference of it in the manual.</p>
<p>Thank you!</p>
https://ask.sagemath.org/question/9297/differential-forms-and-tensors/?comment=19110#post-id-19110It is possible, of course, its just a matter of figuring out how to do it. The specific algebras you are interested are fairly special. AFAIK these are not implemented in Sage and implementation of tensor algebras is not very deep.
I would like to see someone who has experience developing algebraic computations by extending existing Sage classes and using the categories and coercion framework write a tutorial on this.Wed, 05 Sep 2012 09:19:20 -0500https://ask.sagemath.org/question/9297/differential-forms-and-tensors/?comment=19110#post-id-19110Answer by tmonteil for <p>Dear all,</p>
<p>A long time ago I was trying to implement a SAGE code for working with <a href="http://doxdrum.wordpress.com/2011/02/10/sage-tip-creating-a-class-for-non-abelian-forms/">Differential Forms with values in a certain Lie algebra</a>, but due to my lack of programming knowledge, I couldn't. </p>
<p>This kind of objects are important for working with <em>non-Abelin gauge theories</em>.</p>
<p><strong>Question</strong></p>
<p>Is it possible to define and work with those objects?</p>
<p>So far there is no reference of it in the manual.</p>
<p>Thank you!</p>
https://ask.sagemath.org/question/9297/differential-forms-and-tensors/?answer=26882#post-id-26882You should have a look at SageManifolds external package: http://sagemanifolds.obspm.fr/
Tue, 19 May 2015 09:03:45 -0500https://ask.sagemath.org/question/9297/differential-forms-and-tensors/?answer=26882#post-id-26882