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

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.

21 pages

Cited by in corpus (3)

• Fusion products and toroidal algebras
• Schur Positivity and Kirillov-Reshetikhin Modules
• Fusion products of Kirillov-Reshetikhin modules and the X = M conjecture