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arXiv · 1008.0980

A pentagon of identities, graded tensor products and the Kirillov-Reshetikhin conjecture

Rinat Kedem
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Abstract

This paper provides a brief review of the relations between the Feigin-Loktev conjecture on the dimension of graded tensor products of $\g[t]$-modules, the Kirillov-Reshetikhin conjecture, the combinatorial ``M=N" conjecture, their proofs for all simple Lie algebras, and a pentagon of identities which results from the proof.

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Rinat Kedem. 2010-08-05. A pentagon of identities, graded tensor products and the Kirillov-Reshetikhin conjecture. https://doi.org/10.1142/9789814324373_0010

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