def test_transpose():
mu = ()
assert Partition.transpose(mu) == mu
mu = (1, )
assert Partition.transpose(mu) == mu
mu = (2, )
assert Partition.transpose(mu) == (1, 1)
mu = (5, 3, 3, 2, 2, 1, 1, 1, 1)
assert Partition.transpose(mu) == (9, 5, 3, 1, 1)
def fpf_involution_shape(self):
assert self.is_fpf_involution()
mu = Partition.sort(self.fpf_involution_code(), trim=True)
return Partition.transpose(mu)
def omega_schur_expansion(cls, f):
return Vector({
Partition.transpose(mu): coeff
for mu, coeff in cls.schur_expansion(f).items()
})