Kirillov–Schilling–Shimozono bijection as energy functions of crystals
نویسنده
چکیده
The Kirillov–Schilling–Shimozono (KSS) bijection appearing in theory of the Fermionic formula gives one to one correspondence between the set of elements of tensor products of the Kirillov–Reshetikhin crystals (called paths) and the set of rigged configurations. It is generalization of Kerov–Kirillov–Reshetikhin bijection and plays inverse scattering formalism for the box-ball systems. In this paper, we give algebraic reformulation of the KSS map from the paths to rigged configurations, using the combinatorial R and energy functions of crystals. It gives characterization of the KSS bijection as intrinsic property of tensor products of crystals.
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