Hello,

I have been looking at the sympy code for a bit, especially the diffgeom 
module.
It seems quite comprehensive, and was wondering if there has been thinking
along the lines of creating a Lie Group class which subclasses from 
Manifold and Group (? can't
find an abstract class of this type). One could then create various 
instances of it, add
a coordinate system and a Lie Algebra to it for computations (analogous to 
what is done in diffgeom.rn).

My motivation for asking this is that Lie group based algorithms are 
present in the ode module 
 and some code is also present in the liealgebra module (though it does not 
seem to have an
algorithmic focus), and I felt it would tie things up nicely in terms
of structure. Symmetry methods for differential equations also 
conceptualise the DE as a manifold itself, unless I'm mistaken. 
In the (distant!) future I would like to contribute some algorithms for 
symmetry methods in PDEs,
(which is why I looked at Sympy in the first place), but thought this would 
be something more feasible and
will also allow me to familiarise myself with the sympy codebase.

Look forward to any opinions/suggestions with regards to the feasibility of 
something like this. Belated
Xmas wishes to all!

TIA,
Joy

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