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arXiv · 0710.4415

Proof of the combinatorial Kirillov-Reshetikhin conjecture

P. Di Francesco·R. Kedem
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Abstract

In this paper we give a direct proof of the equality of certain generating function associated with tensor product multiplicities of Kirillov-Reshetikhin modules for each simple Lie algebra g. Together with the theorems of Nakajima and Hernandez, this gives the proof of the combinatorial version of the Kirillov-Reshetikhin conjecture, which gives tensor product multiplicities in terms of restricted fermionic summations.

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P. Di Francesco, R. Kedem. 2008-03-02. Proof of the combinatorial Kirillov-Reshetikhin conjecture. https://arxiv.org/abs/0710.4415

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