A crystal theoretic method for finding rigged configurations from paths
نویسنده
چکیده
The Kerov–Kirillov–Reshetikhin (KKR) bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations. In this paper, we give a crystal theoretic reformulation of the KKR map from the paths to rigged configurations, using the combinatorial R and energy functions. It makes the large scale structure of the combinatorial procedure of the KKR bijection transparent.
منابع مشابه
Crystal interpretation of Kerov–Kirillov–Reshetikhin bijection II. Proof for sln case
In proving the Fermionic formulae, a combinatorial bijection called the Kerov–Kirillov–Reshetikhin (KKR) bijection plays the central role. It is a bijection between the set of highest paths and the set of rigged configurations. In this paper, we give a proof of crystal theoretic reformulation of the KKR bijection. It is the main claim of Part I written by A. Kuniba, M. Okado, T. Takagi, Y. Yama...
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تاریخ انتشار 2008