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• W2017253689 abstract "The alcove model of the first author and Postnikov uniformly describes highest weight crystals of semisimple Lie algebras. We construct a generalization, called the quantum alcove model. In joint work of the first author with Naito, Sagaki, Schilling, and Shimozono, this was shown to uniformly describe tensor products of column shape Kirillov–Reshetikhin crystals in all untwisted affine types; moreover, an efficient formula for the corresponding energy function is available. In the second part of this paper, we specialize the quantum alcove model to types $$A$$ and $$C$$ . We give explicit affine crystal isomorphisms from the specialized quantum alcove model to the corresponding tensor products of column shape Kirillov–Reshetikhin crystals, which are realized in terms of Kashiwara–Nakashima columns." @default.
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• W2017253689 date "2014-08-26" @default.
• W2017253689 modified "2023-09-25" @default.
• W2017253689 title "A generalization of the alcove model and its applications" @default.
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• W2017253689 doi "https://doi.org/10.1007/s10801-014-0552-3" @default.
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