Darlayne Addabbo

activity

20162026

most citedOn generators and relations for higher level Zhu algebras and applications

6 citations · 6 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.RT2022

Vertex operators for imaginary $gl_{2}$ subalgebras in the Monster Lie Algebra

Darlayne Addabbo, Lisa Carbone, Elizabeth Jurisich +2

The Monster Lie algebra $m$ is a quotient of the physical space of the vertex algebra $V = V^{♮} \otimes V_{1, 1}$ , where $V^{♮}$ is the Moonshine module vertex ope…

math.RT2016

Difference Hierarchies for $n T$ $τ$ -Functions

Darlayne Addabbo, Maarten Bergvelt

We introduce hierarchies of difference equations (referred to as $n T$ -systems) associated to the action of a (centrally extended, completed) infinite matrix group $GL_{\infty}^{(n)…

math.RT2016

$τ$ -Functions, Birkhoff Factorizations and Difference Equations

Darlayne Addabbo, Maarten Bergvelt

$Q$ -systems and $T$ -systems are systems of integrable difference equations that have recently attracted much attention, and have wide applications in representation theory and stat…

math.RT2016

Generalizations of $Q$ -systems and Orthogonal Polynomials from Representation Theory

Darlayne Addabbo, Maarten Bergvelt

We briefly describe what tau-functions in integrable systems are. We then define a collection of tau-functions given as matrix elements for the action of $G L_{2}$ on two-co…

Vertex operators for imaginary gl2​ subalgebras in the Monster Lie Algebra

Difference Hierarchies for nT τ-Functions

τ-Functions, Birkhoff Factorizations and Difference Equations

Generalizations of Q-systems and Orthogonal Polynomials from Representation Theory

Vertex operators for imaginary $gl_{2}$ subalgebras in the Monster Lie Algebra

Difference Hierarchies for $n T$ $τ$ -Functions

$τ$ -Functions, Birkhoff Factorizations and Difference Equations

Generalizations of $Q$ -systems and Orthogonal Polynomials from Representation Theory