Mario Alberto Moctezuma-Salazar

Mario Alberto Moctezuma-Salazar
Instituto Politécnico Nacional | IPN · Departamento de Fisicomatemáticas

Doctor of Philosophy

About

3
Publications
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8
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Introduction
Mario Alberto Moctezuma-Salazar currently works at the Departamento de Fisicomatemáticas, Instituto Politécnico Nacional. Mario does research in Algebra and Analysis. Their most recent publication is 'Cofactors and eigenvectors of banded Toeplitz matrices: Trench formulas via skew Schur polynomials.'

Publications

Publications (3)
Article
Full-text available
Given a symmetric polynomial $P$ in $2n$ variables, there exists a unique symmetric polynomial $Q$ in $n$ variables such that\[P(x_1,\ldots,x_n,x_1^{-1},\ldots,x_n^{-1})=Q(x_1+x_1^{-1},\ldots,x_n+x_n^{-1}).\] We denote this polynomial $Q$ by $\Phi_n(P)$ and show that $\Phi_n$ is an epimorphism of algebras. We compute $\Phi_n(P)$ for several familie...
Preprint
Full-text available
Given a symmetric polynomial $P$ in $2n$ variables, there exists a unique symmetric polynomial $Q$ in $n$ variables such that \[ P(x_1,\ldots,x_n,x_1^{-1},\ldots,x_n^{-1}) =Q(x_1+x_1^{-1},\ldots,x_n+x_n^{-1}). \] We denote this polynomial $Q$ by $\Phi_n(P)$ and show that $\Phi_n$ is an epimorphism of algebras. We compute $\Phi_n(P)$ for several fam...
Article
Full-text available
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 skew partitions in terms of the indices of the struck-out rows and columns. In the present paper, we develop the same idea and obtain some new applications. First, we pr...

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