def __init__(self, parent, list=[[]], **options):
r"""
Construct a TensorProductOfKirillovReshetikhinTableauxElement.
INPUT:
- ``parent`` -- Parent for this element
- ``list`` -- The list of KR tableaux elements
EXAMPLES::
sage: KRT = crystals.TensorProductOfKirillovReshetikhinTableaux(['A', 3, 1], [[1, 1], [2, 1], [1, 1], [2, 1], [2, 1], [2, 1]])
sage: T = KRT(pathlist=[[2], [4, 1], [3], [4, 2], [3, 1], [2, 1]])
sage: T
[[2]] (X) [[1], [4]] (X) [[3]] (X) [[2], [4]] (X) [[1], [3]] (X) [[1], [2]]
sage: KRT = crystals.TensorProductOfKirillovReshetikhinTableaux(['A', 3, 1], [[3,3], [2,1]])
sage: T = KRT(pathlist=[[3, 2, 1, 4, 2, 1, 4, 3, 1], [2, 1]])
sage: T
[[1, 1, 1], [2, 2, 3], [3, 4, 4]] (X) [[1], [2]]
sage: KRT = crystals.TensorProductOfKirillovReshetikhinTableaux(['D', 4, 1], [[2, 1], [1, 1], [1, 1], [1, 1]])
sage: T = KRT(pathlist=[[3,2], [1], [-1], [1]])
sage: T
[[2], [3]] (X) [[1]] (X) [[-1]] (X) [[1]]
sage: TestSuite(T).run()
"""
if "pathlist" in options:
pathlist = options["pathlist"]
TensorProductOfRegularCrystalsElement.__init__(
self, parent,
[parent.crystals[i](*tab) for i, tab in enumerate(pathlist)])
else:
TensorProductOfRegularCrystalsElement.__init__(self, parent, list)
def __init__(self, parent, list=[[]], **options):
r"""
Construct a TensorProductOfKirillovReshetikhinTableauxElement.
INPUT:
- ``parent`` -- Parent for this element
- ``list`` -- The list of KR tableaux elements
EXAMPLES::
sage: KRT = crystals.TensorProductOfKirillovReshetikhinTableaux(['A', 3, 1], [[1, 1], [2, 1], [1, 1], [2, 1], [2, 1], [2, 1]])
sage: T = KRT(pathlist=[[2], [4, 1], [3], [4, 2], [3, 1], [2, 1]])
sage: T
[[2]] (X) [[1], [4]] (X) [[3]] (X) [[2], [4]] (X) [[1], [3]] (X) [[1], [2]]
sage: KRT = crystals.TensorProductOfKirillovReshetikhinTableaux(['A', 3, 1], [[3,3], [2,1]])
sage: T = KRT(pathlist=[[3, 2, 1, 4, 2, 1, 4, 3, 1], [2, 1]])
sage: T
[[1, 1, 1], [2, 2, 3], [3, 4, 4]] (X) [[1], [2]]
sage: KRT = crystals.TensorProductOfKirillovReshetikhinTableaux(['D', 4, 1], [[2, 1], [1, 1], [1, 1], [1, 1]])
sage: T = KRT(pathlist=[[3,2], [1], [-1], [1]])
sage: T
[[2], [3]] (X) [[1]] (X) [[-1]] (X) [[1]]
sage: TestSuite(T).run()
"""
if "pathlist" in options:
pathlist = options["pathlist"]
TensorProductOfRegularCrystalsElement.__init__(self, parent,
[parent.crystals[i](*tab) for i, tab in enumerate(pathlist)])
else:
TensorProductOfRegularCrystalsElement.__init__(self, parent, list)
def __init__(self, parent, list, **options):
r"""
Initialize ``self``.
EXAMPLES::
sage: KRT = KirillovReshetikhinTableaux(['A', 4, 1], 2, 1)
sage: elt = KRT([4, 3]); elt
[[3], [4]]
sage: TestSuite(elt).run()
"""
# Make sure we are a list of letters
if list != [] and type(list[0]) is not parent.letters.element_class:
list = [parent.letters(x) for x in list]
TensorProductOfRegularCrystalsElement.__init__(self, parent, list)
def __init__(self, parent, list, **options):
r"""
Initialize ``self``.
EXAMPLES::
sage: KRT = KirillovReshetikhinTableaux(['A', 4, 1], 2, 1)
sage: elt = KRT([4, 3]); elt
[[3], [4]]
sage: TestSuite(elt).run()
"""
# Make sure we are a list of letters
if list != [] and type(list[0]) is not parent.letters.element_class:
list = [parent.letters(x) for x in list]
TensorProductOfRegularCrystalsElement.__init__(self, parent, list)
