def test_regular_cyclic(self):
g = CyclicGroup(15)
rr = g.regular_representation
N = 4
size = rr.size * N
p = np.eye(size, size)
p = p[:, np.random.permutation(size)]
repr = directsum([rr]*N, change_of_basis=p)
self.check_disentangle(repr)
def test_mix_cyclic(self):
g = CyclicGroup(15)
rr = directsum(list(g.representations.values()))
N = 3
size = rr.size * N
bcob = ortho_group.rvs(dim=size//5)
bsize = bcob.shape[0]
p = np.eye(size, size)
for i in range(size//bsize):
p[i*bsize:(i+1)*bsize, i*bsize:(i+1)*bsize] = bcob
p = p[:, np.random.permutation(size)]
repr = directsum([rr]*N, change_of_basis=p)
self.check_disentangle(repr)
def test_restrict_irreps_cyclic_even_cyclic_odd(self):
dg = CyclicGroup(10)
sg_id = 5
for name, irrep in dg.irreps.items():
self.check_restriction(dg, sg_id, irrep)
def test_restrict_rr_cyclic_odd_cyclic_odd(self):
dg = CyclicGroup(15)
repr = dg.regular_representation
sg_id = 5
self.check_restriction(dg, sg_id, repr)
def test_restrict_rr_cyclic_even_cyclic_even(self):
dg = CyclicGroup(16)
repr = dg.regular_representation
sg_id = 8
self.check_restriction(dg, sg_id, repr)
def test_restrict_rr_cyclic_even_cyclic_odd(self):
dg = CyclicGroup(14)
repr = dg.regular_representation
sg_id = 7
self.check_disentangle(dg.restrict_representation(sg_id, repr))
def test_cyclic_even(self):
g = CyclicGroup(16)
self.check_group(g)
def test_restrict_irreps_cyclic_even_cyclic_odd(self):
dg = CyclicGroup(10)
sg_id = 5
for name, irrep in dg.irreps.items():
self.check_disentangle(dg.restrict_representation(sg_id, irrep))
def test_cyclic_odd(self):
g = CyclicGroup(15)
self.check_group(g)
def test_mix_cyclic(self):
g = CyclicGroup(15)
rr = directsum(list(g.representations.values()))
self.check_representation(rr)
self.check_character(rr)
def test_regular_cyclic(self):
g = CyclicGroup(15)
rr = g.regular_representation
self.check_representation(rr)
self.check_character(rr)
def test_cyclic_rr_small(self):
cg = CyclicGroup(2)
self.cyclic_rr_eval(cg, cg.representations['regular'])
def test_cyclic_rr_odd(self):
cg = CyclicGroup(11)
self.cyclic_rr_eval(cg, cg.representations['regular'])