On Thu, Feb 10, 2011 at 07:53:24AM -0800, Dox wrote:
> Nicalas... Your suggestion almost work, and in fact it is exactly what
> I'm talking about!
Cool :-)
> Specifically, my idea is to work with connections with values in a non-
> Abelian Lie algebra, SU(2), so there are 3 generators.
>
> Therefore, the first entry of my function is a form, and the second is
> a Lie algebra generator!.
>
> I tried this
>
> class nAform(object):
> def __init__(self, a, b):
> self._form = a
> self._matrix = b
>
> def __add__(self, other):
> if isinstance(other, nAform):
> if (self._matrix == other._matrix):
> return nAform(self._form + other._form, self._matrix)
> else:
> raise NotImplemented
> raise NotImplemented
>
> def __mul__(self, other):
> if isinstance(other, nAform):
> return nAform(self._form.wedge(other._form),
> self._matrix.commutator(other._matrix))
> raise NotImplemented
>
> def __repr__(self):
> return str((self._form, self._matrix))
>
> def __str__(self):
> return self.__repr__()
>
> And for monomials form it can multiply. But I got stacked in the
> definition of an addition, if the generators of the algebra are
> different! Which is, of course, one of the most important part of the
> class.
>
> Any additional help is welcome!
Please someone take over the support for Dox; I am rushing to take my
plane, and will be out of e-mail for the next week.
Best,
Nicolas
--
Nicolas M. Thiéry "Isil" <nthi...@users.sf.net>
http://Nicolas.Thiery.name/
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