Type D_n^(1) rigged configuration bijection
Journal of Algebraic Combinatorics(2017)
摘要
We establish a bijection between the set of rigged configurations and the set of tensor products of Kirillov–Reshetikhin crystals of type D^(1)_n in full generality. We prove the invariance of rigged configurations under the action of the combinatorial R -matrix on tensor products and show that the bijection preserves certain statistics (cocharge and energy). As a result, we establish the fermionic formula for type D_n^(1) . In addition, we establish that the bijection is a classical crystal isomorphism.
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关键词
Rigged configurations,Crystal bases,Fermionic formula,Kyoto path model
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