1 citations · 3 across the 4 of their papers we have counts for
4 papers
A new bijective proof of the -Pfaff--Saalschütz identity with applications to quantum groups
Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1
We present a combinatorial proof of the -Pfaff--Saalschütz identity by a composition of explicit bijections, in which -binomial coefficients are interpreted as counting subsp…
Bender-Knuth involutions for types B and C
Álvaro Gutiérrez
We show that the combinatorial definitions of King and Sundaram of the symmetric polynomials of types B and C are indeed symmetric, in the sense that they are invariant by the acti…
Partial symmetries of iterated plethysms
Álvaro Gutiérrez, Mercedes H. Rosas
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The plethystic coefficients involved come from the expansion in the…
Necessary conditions for the positivity of Littlewood-Richardson and plethystic coefficients
Álvaro Gutiérrez, Mercedes H. Rosas
We give necessary conditions for the positivity of Littlewood-Richardson coefficients and SXP coefficients. We deduce necessary conditions for the positivity of the plethystic coef…