Proof of the combinatorial Kirillov-Reshetikhin conjecture

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.

36 pages. Corrected version for publication

References in corpus (2)

• X=M for symmetric powers
• Fusion products, cohomology of GL(N) flag manifolds and Kostka polynomials

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