Generating functions for Demazure multiplicities in sl2[t] fusion products are quotients of Chebyshev polynomials, and graded characters of V(ξ) are expressed via Hall-Littlewood polynomials with cocharge Kostka-Foulkes coefficients.
Naoi, Fusion products of Kirillov-Reshetikhin modules and the X=M conjecture, Adv
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Graded characters, demazure multiplicities, and chebyshev polynomials
Generating functions for Demazure multiplicities in sl2[t] fusion products are quotients of Chebyshev polynomials, and graded characters of V(ξ) are expressed via Hall-Littlewood polynomials with cocharge Kostka-Foulkes coefficients.