Luis Angel Gonz'alez-Serrano

activity

20192024

collaborators

3 papers

math.CO2024

Complete homogeneous symmetric polynomials with repeating variables

Luis Angel González-Serrano, Egor A. Maximenko

We consider polynomials of the form $h_{m} (y_{1}^{[ϰ_{1}]}, \dots, y_{n}^{[ϰ_{n}]})$ , where $h_{m}$ is the complete homogeneous polynomial of degre…

math.CO2023

Bialternant formula for Schur polynomials with repeating variables

Luis Angel González-Serrano, Egor A. Maximenko

We consider polynomials of the form $s_{λ} (y_{1}^{[ϰ_{1}]}, \dots, y_{n}^{[ϰ_{n}]})$ , where $λ$ is an integer partition, $s_{λ}$ is the Schur polyn…

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 $P$ in $2 n$ 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…