I've define the action of the exterior derivative on the non-Abelian
connection,
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 diff(self):
return nAform(self._form.diff(), self._matrix)
def __repr__(self):
return str((self._form, self._matrix))
def __str__(self):
return self.__repr__()
* TODO:
** Define the sum for forms with values in different elements of the
algebra.
** Define the product of the forms by a number (or function)
Cheers
DOX
--
To post to this group, send an email to sage-devel@googlegroups.com
To unsubscribe from this group, send an email to
sage-devel+unsubscr...@googlegroups.com
For more options, visit this group at http://groups.google.com/group/sage-devel
URL: http://www.sagemath.org
