Proof of the combinatorial Kirillov-Reshetikhin conjecture
Quantum Algebra
2008-03-02 v2 Mathematical Physics
Combinatorics
math.MP
Representation Theory
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.
Cite
@article{arxiv.0710.4415,
title = {Proof of the combinatorial Kirillov-Reshetikhin conjecture},
author = {P. Di Francesco and R. Kedem},
journal= {arXiv preprint arXiv:0710.4415},
year = {2008}
}
Comments
36 pages. Corrected version for publication