Mathematics – Quantum Algebra
Scientific paper
2010-08-05
Miwa Festschrift volume, 2010
Mathematics
Quantum Algebra
21 pages
Scientific paper
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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