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Remarks on fermionic formula

Remarks on fermionic formula

Fermionic formulae originate in the Bethe ansatz in solvable lattice models.They are specific expressions of some q-polynomials as sums of products of q-binomial coefficients.We consider the fermionic formulae associated with general non-twisted quantum affine algebra Uq(X (1) n ) and discuss several aspects related to representation theories and combinatorics.They include …