Part of the (internal) classes which runs the bijection between rigged
configurations and KR tableaux of type .
AUTHORS:
TESTS:
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['D', 4, 2], [[2,1]])
sage: from sage.combinat.rigged_configurations.bij_type_D_twisted import KRTToRCBijectionTypeDTwisted
sage: bijection = KRTToRCBijectionTypeDTwisted(KRT(pathlist=[[-1,2]]))
sage: TestSuite(bijection).run()
sage: RC = RiggedConfigurations(['D', 4, 2], [[2, 1]])
sage: from sage.combinat.rigged_configurations.bij_type_D_twisted import RCToKRTBijectionTypeDTwisted
sage: bijection = RCToKRTBijectionTypeDTwisted(RC())
sage: TestSuite(bijection).run()
Bases: sage.combinat.rigged_configurations.bij_type_D.KRTToRCBijectionTypeD, sage.combinat.rigged_configurations.bij_type_A2_even.KRTToRCBijectionTypeA2Even
Specific implementation of the bijection from KR tableaux to rigged
configurations for type .
This inherits from type and
because we use the
same methods in some places.
Build the next state for type .
TESTS:
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['D', 4, 2], [[2,1]])
sage: from sage.combinat.rigged_configurations.bij_type_D_twisted import KRTToRCBijectionTypeDTwisted
sage: bijection = KRTToRCBijectionTypeDTwisted(KRT(pathlist=[[-1,2]]))
sage: bijection.cur_path.insert(0, [])
sage: bijection.cur_dims.insert(0, [0, 1])
sage: bijection.cur_path[0].insert(0, [2])
sage: bijection.next_state(2)
Run the bijection from a tensor product of KR tableaux to a rigged
configuration for type .
INPUT:
EXAMPLES:
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['D', 4, 2], [[3,1]])
sage: from sage.combinat.rigged_configurations.bij_type_D_twisted import KRTToRCBijectionTypeDTwisted
sage: KRTToRCBijectionTypeDTwisted(KRT(pathlist=[[-1,3,2]])).run()
-1[ ]-1
0[ ]0
1[ ]1
Bases: sage.combinat.rigged_configurations.bij_type_D.RCToKRTBijectionTypeD, sage.combinat.rigged_configurations.bij_type_A2_even.RCToKRTBijectionTypeA2Even
Specific implementation of the bijection from rigged configurations to
tensor products of KR tableaux for type .
Build the next state for type .
TESTS:
sage: RC = RiggedConfigurations(['D', 4, 2], [[2, 1]])
sage: from sage.combinat.rigged_configurations.bij_type_D_twisted import RCToKRTBijectionTypeDTwisted
sage: bijection = RCToKRTBijectionTypeDTwisted(RC(partition_list=[[2],[2,2],[2,2]]))
sage: bijection.next_state(0)
-1
Run the bijection from rigged configurations to tensor product of KR
tableaux for type .
INPUT:
EXAMPLES:
sage: RC = RiggedConfigurations(['D', 4, 2], [[3, 1]])
sage: from sage.combinat.rigged_configurations.bij_type_D_twisted import RCToKRTBijectionTypeDTwisted
sage: RCToKRTBijectionTypeDTwisted(RC(partition_list=[[],[1],[1]])).run()
[[1], [3], [-2]]