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Difference L operators related to q-characters

A. Kuniba·M. Okado·J. Suzuki·Y. Yamada
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Abstract

We introduce a factorized difference operator L(u) annihilated by the Frenkel-Reshetikhin screening operator for the quantum affine algebra U_q(C^{(1)}_n). We identify the coefficients of L(u) with the fundamental q-characters, and establish a number of formulas for their higher analogues. They include Jacobi-Trudi and Weyl type formulas, canceling tableau sums, Casorati determinant solution to the T-system, and so forth. Analogous operators for the orthogonal series U_q(B^{(1)}_n) and U_q(D^{(1)}_n) are also presented.

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A. Kuniba, M. Okado, J. Suzuki, Y. Yamada. 2001-09-20. Difference L operators related to q-characters. https://doi.org/10.1088/0305-4470%2F35%2F6%2F307

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