Bijection classes for type \(D_4^{(3)}\)#

Part of the (internal) classes which runs the bijection between rigged configurations and KR tableaux of type \(D_4^{(3)}\).

AUTHORS:

  • Travis Scrimshaw (2014-09-10): Initial version

class sage.combinat.rigged_configurations.bij_type_D_tri.KRTToRCBijectionTypeDTri(tp_krt)#

Bases: sage.combinat.rigged_configurations.bij_type_A.KRTToRCBijectionTypeA

Specific implementation of the bijection from KR tableaux to rigged configurations for type \(D_4^{(3)}\).

This inherits from type \(A_n^{(1)}\) because we use the same methods in some places.

next_state(val)#

Build the next state for type \(D_4^{(3)}\).

class sage.combinat.rigged_configurations.bij_type_D_tri.RCToKRTBijectionTypeDTri(RC_element)#

Bases: sage.combinat.rigged_configurations.bij_type_A.RCToKRTBijectionTypeA

Specific implementation of the bijection from rigged configurations to tensor products of KR tableaux for type \(D_4^{(3)}\).

next_state(height)#

Build the next state for type \(D_4^{(3)}\).