On Fri, Dec 27, 2013 at 6:43 AM, F. B. <[email protected]> wrote: > The current sympy.liealgebras module has tools to classify Lie algebras. But > I was wondering, shouldn't that stuff be moved to > sympy.liealgebras.classification or something similar? I would expect that > the Lie algebra module in SymPy be a module to handle vector spaces equipped > with Lie brackets.
Sounds good to me. Aaron Meurer > > It would be nice to create a sympy.liegroups module which subclasses objects > in sympy.diffgeom, to provide them with the features a Lie group adds to a > differential manifold. In fact, a Lie group is a differential manifold, with > some additional structure. A similar reason is true for Lie algebras: they > are vector fields equipped with additional structures, namely they are the > tangent space on the unit element of some Lie group (unfortunately the Lie > algebra <==> Lie group relation is not one-to-one). > > Lie algebras should be connected to a simply-connected Lie group by the > exponential map. > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
