Bijection classes for type \(A_{2n}^{(2)}\) - Combinatorics

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

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

AUTHORS:

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

class sage.combinat.rigged_configurations.bij_type_A2_even.KRTToRCBijectionTypeA2Even(tp_krt)

  Bases: `KRTToRCBijectionTypeC`

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

  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 \(A_{2n}^{(2)}\).

class sage.combinat.rigged_configurations.bij_type_A2_even.RCToKRTBijectionTypeA2Even(RC_element)

  Bases: `RCToKRTBijectionTypeC`

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

  next_state(height)

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