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math.CO2019
Symmetric polynomials in the symplectic alphabet and their expression via Dickson--Zhukovsky variables
Per Alexandersson, Luis Angel González-Serrano, Egor A. Maximenko +1
Given a symmetric polynomial in variables, there exists a unique symmetric polynomial in variables such that \[ P(x_1,\ldots,x_n,x_1^{-1},\ldots,x_n^{-1}) =Q(x_1+x…
math.CO2017★ 5 cited
Cofactors and eigenvectors of banded Toeplitz matrices: Trench formulas via skew Schur polynomials
Egor A. Maximenko, Mario Alberto Moctezuma-Salazar
The Jacobi-Trudi formulas imply that the minors of the banded Toeplitz matrices can be written as certain skew Schur polynomials. In 2012, Alexandersson expressed the corresponding…