def __init__(self, n, dimension, algebra):
'''
Initializes the Lie group.
:param n: dimension of the matrix group.
:param algebra: instance of :py:class:MatrixLieAlgebra
'''
DifferentiableManifold.__init__(self, dimension=dimension)
self.n = n
self.algebra = algebra
assert self.algebra.n == self.n
from . import MatrixLieGroupTangent
self._tangent_bundle_algebra_rep = MatrixLieGroupTangent(self)
def __init__(self, base_group):
assert isinstance(base_group, MatrixLieGroup)
self.base = base_group
dimension = 2 * base_group.get_dimension()
DifferentiableManifold.__init__(self, dimension=dimension)
def __init__(self, n):
DifferentiableManifold.__init__(self, dimension=n)
self.n = n
def __init__(self, n):
DifferentiableManifold.__init__(self, dimension=n)
self.n = n
def __init__(self, base_group):
assert isinstance(base_group, MatrixLieGroup)
self.base = base_group
dimension = 2 * base_group.get_dimension()
DifferentiableManifold.__init__(self, dimension=dimension)