def e(self, i):
r"""
Calculate the action of `e_i` on ``self``.
EXAMPLES::
sage: KRT = KirillovReshetikhinTableaux(['D',4,1], 4, 1)
sage: KRT([-1, -4, 3, 2]).e(1)
[[1], [3], [-4], [-2]]
sage: KRT([-1, -4, 3, 2]).e(3)
"""
half = TensorProductOfCrystalsElement.e(self, i)
if half is None:
return None
return TensorProductOfCrystalsElement.e(half, i)
def e(self, i):
r"""
Calculate the action of `e_i` on ``self``.
EXAMPLES::
sage: KRT = KirillovReshetikhinTableaux(['D',4,1], 4, 1)
sage: KRT([-1, -4, 3, 2]).e(1)
[[1], [3], [-4], [-2]]
sage: KRT([-1, -4, 3, 2]).e(3)
"""
half = TensorProductOfCrystalsElement.e(self, i)
if half is None:
return None
return TensorProductOfCrystalsElement.e(half, i)
def e(self, i):
r"""
Return the action of `e_i` on ``self``.
EXAMPLES::
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['D', 4, 1], [[2,1]])
sage: T = KRT(pathlist=[[4,3]])
sage: T.e(1)
sage: T.e(2)
[[2], [4]]
"""
if i != 0:
return TensorProductOfCrystalsElement.e(self, i)
return None
def e(self, i):
r"""
Return the action of `e_i` on ``self``.
EXAMPLES::
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['D', 4, 1], [[2,1]])
sage: T = KRT(pathlist=[[4,3]])
sage: T.e(1)
sage: T.e(2)
[[2], [4]]
"""
if i != 0:
return TensorProductOfCrystalsElement.e(self, i)
return None
def e(self, i):
"""
Perform the action of `e_i` on ``self``.
.. TODO::
Implement a direct action of `e_0` without moving to KR crystals.
EXAMPLES::
sage: KRT = KirillovReshetikhinTableaux(['D',4,1], 2,2)
sage: KRT.module_generators[0].e(0)
[[-2, 1], [-1, -1]]
"""
if i == 0:
ret = self.to_Kirillov_Reshetikhin_crystal().e0()
if ret is None:
return None
return ret.to_Kirillov_Reshetikhin_tableau()
return TensorProductOfCrystalsElement.e(self, i)
def e(self, i):
"""
Perform the action of `e_i` on ``self``.
.. TODO::
Implement a direct action of `e_0` without moving to KR crystals.
EXAMPLES::
sage: KRT = KirillovReshetikhinTableaux(['D',4,1], 2,2)
sage: KRT.module_generators[0].e(0)
[[-2, 1], [-1, -1]]
"""
if i == 0:
ret = self.to_Kirillov_Reshetikhin_crystal().e0()
if ret is None:
return None
return ret.to_Kirillov_Reshetikhin_tableau()
return TensorProductOfCrystalsElement.e(self, i)
