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math.CO2007★ 1 cited
Adding \pm 1 to the argument of an Hall-Littlewood polynomial
Alain Lascoux
Shifting by \pm 1 powers sums: p_i \to p_i \pm 1 induces a transformation on symmetric functions that we detail in the case of Hall-Littlewood polynomials. By iteration, this gives…
math.CO2007★ 10 cited
Gaudin functions, and Euler-Poincaré characteristics
Alain Lascoux
Given two positive integers n,r, we define the Gaudin function of level r to be quotient of the numerator of the determinant det(1/ ((x_i-y_j)(x_i-ty_j) ... (x_i-t^r y_j)), i,j=1..…