S. Capparelli

activity

20022025

most citedThe Rogers-Selberg recursions, the Gordon-Andrews identities and intertwining operators

4 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

math.CO2025

Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_{2}^{(2)}$

Stefano Capparelli, Arne Meurman, Mirko Primc

One of the starting points of this work was the duality of Borcea relating standard level $k$ representations of $A_{1}^{(1)}$ and level $2 k + 1$ of $A_{2}^{(2)}$ . For $k = 1$ , the combina…

math.RT2021

New Partition Identities From $C_{ℓ}^{(1)}$ -Modules

S. Capparelli, A. Meurman, A. Primc +1

In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type $C_{ℓ}^{(1)}$ , $…

math.NT2020

Some partition and analytical identities arising from Alladi, Andrews, Gordon bijections

Stefano Capparelli, Alberto Del Fra, Pietro Mercuri +1

In a work of 1995, Alladi, Andrews, and Gordon provided a generalization of the two Capparelli identities involving certain classes of integer partitions. Inspired by that contribu…

math.CO2018

Chebyshev coordinates and Salem numbers

Stefano Capparelli, Alberto Del Fra

By expressing polynomials in the basis of Chebyshev polynomials, certain families of hyperbolic polynomials appear naturally. Some of these families have all their roots in the int…

math.CO2015

A non-existence result on symplectic semifield spreads

Stefano Capparelli, Valentina Pepe

We prove that there do not exist non-Desarguesian symplectic semifield spreads of PG $(5, q^{2})$ , $q \geq 2^{14}$ even, whose associated semifield has center containing $F_{q}$ ,…

math.CO2015★ 1 cited

Some results on Dyck paths and Motzkin paths