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Abstract: This paper provides a brief review of the relations between the Feigin-Loktevconjecture on the dimension of graded tensor products of $\gt$-modules, theKirillov-Reshetikhin conjecture, the combinatorial ``M=N- conjecture, theirproofs for all simple Lie algebras, and a pentagon of identities which resultsfrom the proof.



Author: Rinat Kedem

Source: https://arxiv.org/







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