def __classcall_private__(cls, cartan_type, wt=None):
r"""
Normalize the input arguments to ensure unique representation.
EXAMPLES::
sage: La = RootSystem(['A', 2]).weight_lattice().fundamental_weights()
sage: RC = crystals.RiggedConfigurations(La[1])
sage: RC2 = crystals.RiggedConfigurations(['A', 2], La[1])
sage: RC is RC2
True
"""
if wt is None:
wt = cartan_type
cartan_type = wt.parent().cartan_type()
else:
cartan_type = CartanType(cartan_type)
wt_lattice = cartan_type.root_system().weight_lattice()
wt = wt_lattice(wt)
if not cartan_type.is_simply_laced():
vct = cartan_type.as_folding()
return CrystalOfNonSimplyLacedRC(vct, wt)
return super(CrystalOfRiggedConfigurations, cls).__classcall__(cls, wt)
def __classcall_private__(cls, cartan_type):
r"""
Normalize the input arguments to ensure unique representation.
EXAMPLES::
sage: RC1 = crystals.infinity.RiggedConfigurations(CartanType(['A',3]))
sage: RC2 = crystals.infinity.RiggedConfigurations(['A',3])
sage: RC2 is RC1
True
"""
cartan_type = CartanType(cartan_type)
if not cartan_type.is_simply_laced():
vct = cartan_type.as_folding()
return InfinityCrystalOfNonSimplyLacedRC(vct)
return super(InfinityCrystalOfRiggedConfigurations, cls).__classcall__(cls, cartan_type)
def __classcall_private__(cls, cartan_type):
r"""
Normalize the input arguments to ensure unique representation.
EXAMPLES::
sage: RC1 = crystals.infinity.RiggedConfigurations(CartanType(['A',3]))
sage: RC2 = crystals.infinity.RiggedConfigurations(['A',3])
sage: RC2 is RC1
True
"""
cartan_type = CartanType(cartan_type)
if not cartan_type.is_simply_laced():
vct = cartan_type.as_folding()
return InfinityCrystalOfNonSimplyLacedRC(vct)
return super(InfinityCrystalOfRiggedConfigurations, cls).__classcall__(cls, cartan_type)
