Part of the (internal) classes which run the bijection between rigged
configurations and tensor products of Kirillov-Reshetikhin tableaux of
type .
AUTHORS:
TESTS:
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['A', 4, 1], [[2,1]])
sage: from sage.combinat.rigged_configurations.bij_type_A import KRTToRCBijectionTypeA
sage: bijection = KRTToRCBijectionTypeA(KRT(pathlist=[[4,3]]))
sage: TestSuite(bijection).run()
Bases: sage.combinat.rigged_configurations.bij_abstract_class.KRTToRCBijectionAbstract
Specific implementation of the bijection from KR tableaux to rigged configurations for type .
Build the next state for type
EXAMPLES:
sage: KRT = TensorProductOfKirillovReshetikhinTableaux(['A', 4, 1], [[2,1]])
sage: from sage.combinat.rigged_configurations.bij_type_A import KRTToRCBijectionTypeA
sage: bijection = KRTToRCBijectionTypeA(KRT(pathlist=[[4,3]]))
sage: bijection.cur_path.insert(0, [])
sage: bijection.cur_dims.insert(0, [0, 1])
sage: bijection.cur_path[0].insert(0, [3])
sage: bijection.next_state(3)
sage: bijection.ret_rig_con
-1[ ]-1
-1[ ]-1
(/)
(/)
Bases: sage.combinat.rigged_configurations.bij_abstract_class.RCToKRTBijectionAbstract
Specific implementation of the bijection from rigged configurations to tensor products of KR tableaux for type .
Build the next state for type .
EXAMPLES:
sage: RC = RiggedConfigurations(['A', 4, 1], [[2, 1]])
sage: from sage.combinat.rigged_configurations.bij_type_A import RCToKRTBijectionTypeA
sage: bijection = RCToKRTBijectionTypeA(RC(partition_list=[[1],[1],[1],[1]]))
sage: bijection.next_state(0)
5
sage: bijection.cur_partitions
[(/)
, (/)
, (/)
, (/)
]