Bijection classes for type \(A_{2n}^{(2)\dagger}\)#

Part of the (internal) classes which runs the bijection between rigged configurations and KR tableaux of type \(A_{2n}^{(2)\dagger}\).

AUTHORS:

  • Travis Scrimshaw (2012-12-21): Initial version

class sage.combinat.rigged_configurations.bij_type_A2_dual.KRTToRCBijectionTypeA2Dual(tp_krt)#

Bases: KRTToRCBijectionTypeC

Specific implementation of the bijection from KR tableaux to rigged configurations for type \(A_{2n}^{(2)\dagger}\).

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

next_state(val)#

Build the next state for type \(A_{2n}^{(2)\dagger}\).

class sage.combinat.rigged_configurations.bij_type_A2_dual.RCToKRTBijectionTypeA2Dual(RC_element)#

Bases: RCToKRTBijectionTypeC

Specific implementation of the bijection from rigged configurations to tensor products of KR tableaux for type \(A_{2n}^{(2)\dagger}\).

next_state(height)#

Build the next state for type \(A_{2n}^{(2)\dagger}\).