Lucia Bagnoli

activity

20212026

most citedClassification of finite irreducible conformal modules for

K_{4}^{'}

5 citations · 12 across the 14 of their papers we have counts for

collaborators

14 papers

math.QA2026

Double Yangian and reflection algebras of the Lie superalgebra $gl_{M ∣ N}$ , II: Quantum currents

Lucia Bagnoli, Slaven Kožić

In this paper, we continue our research on the double Yangian and reflection algebras of the Lie superalgebra $gl_{M ∣ N}$ . Extending the Etingof-Kazhdan construction, we…

math.QA2026

Invariants of the extended twisted $h$ -Yangian

Lucia Bagnoli, Slaven Kožić, Jian Zhang

We investigate the extended twisted $h$ -Yangian $Y_{N, h}^{tw}$ , a certain algebra which admits both the orthogonal and the symplectic $h$ -Yangian as its quotients. We…

math.QA2026

Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$

Lucia Bagnoli, Slaven Kožić

Let $V^{c} (gl_{N})$ be Etingof-Kazhdan's quantum affine vertex algebra associated with the trigonometric $R$ -matrix. We establish a connection between suitably gen…

math.QA2026

Associating modules for the $h$ -Yangian and quantum elliptic algebra in type $A$ with $h$ -adic quantum vertex algebras

Lucia Bagnoli, Naihuan Jing, Slaven Kožić

We consider the Etingof-Kazhdan quantum vertex algebra $V^{c} (R)$ associated with the trigonometric and elliptic $R$ -matrix of type $A .$ We establish a connection between (…

math.QA2025

On two families of quantum vertex algebras of FRT-type

Lucia Bagnoli, Marijana Butorac, Slaven Kožić

We consider two new families of quantum vertex algebras which are associated with the type $A$ trigonometric $R$ -matrix and elliptic $R$ -matrix of the eight-vertex model. We show t…

math.QA2024

Associating deformed $ϕ$ -coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$ -Yangians

Lucia Bagnoli, Slaven Kožić

We consider the Etingof-Kazhdan quantum vertex algebra $V^{c} (gl_{N})$ associated with the trigonometric $R$ -matrix of type $A$ . By combining Li's theory of $ϕ$ -co…

math.QA2024

Deformed quantum vertex algebra modules associated with braidings

Lucia Bagnoli, Slaven Kožić

We introduce the notion of deformed quantum vertex algebra module associated with a braiding map. We construct two families of braiding maps over the Etingof-Kazhdan quantum vertex…

math.RT2024★ 1 cited

A note on the quantum Berezinian for the double Yangian of the Lie superalgebra $gl_{m ∣ n}$

Lucia Bagnoli, Slaven Kožić

In this note, we generalize the notion of quantum Berezinian to the double Yangian $DY (gl_{m ∣ n})$ of the Lie superalgebra $gl_{m ∣ n}$ . We show that its c…

math.QA2023★ 4 cited

Double Yangian and reflection algebras of the Lie superalgebra $gl_{m ∣ n}$

Lucia Bagnoli, Slaven Kožić

We study the double Yangian associated with the Lie superalgebra $gl_{m ∣ n}$ . Our main focus is on establishing the Poincaré-Birkhoff-Witt Theorem for the double Yangian…

math.QA2023★ 1 cited

Yangian deformations of $S$ -commutative quantum vertex algebras and Bethe subalgebras

Lucia Bagnoli, Slaven Kožić

We construct a new class of quantum vertex algebras associated with the normalized Yang $R$ -matrix. They are obtained as Yangian deformations of certain $S$ -commutative q…

math.RT2022

Homology of the complexes of finite Verma modules over $C K_{6}$

Lucia Bagnoli

We compute the homology of the first and third quadrants of the complexes of finite Verma modules over the annihilation superalgebra $A (C K_{6}) ≅ E (1, 6)$ , associated w…

math.RT2021

Computation of the homology of the complexes of finite Verma modules for $K_{4}^{'}$

Lucia Bagnoli

We compute the homology of the complexes of finite Verma modules over the annihilation superalgebra $A (K_{4}^{'})$ , associated with the conformal superalgebra $K_{4}^{'}$ , obtai…

math.RT2021★ 1 cited

An upper bound on the degree of singular vectors for $E (1, 6)$

Lucia Bagnoli

The aim of this work is to prove a technical result, that had been stated by Boyallian, Kac and Liberati \cite{ck6}, on the degree of singular vectors of finite Verma modules over…

math.RT2021★ 5 cited

Classification of finite irreducible conformal modules for $K_{4}^{'}$

Lucia Bagnoli, Fabrizio Caselli

We classify the finite irreducible modules over the conformal superalgebra $K_{4}^{'}$ by their correspondence with finite conformal modules over the associated annihilation superalge…

Double Yangian and reflection algebras of the Lie superalgebra glM∣N​, II: Quantum currents

Invariants of the extended twisted h-Yangian

Evaluation-type deformed modules over the quantum affine vertex algebras of type A

Associating modules for the h-Yangian and quantum elliptic algebra in type A with h-adic quantum vertex algebras

On two families of quantum vertex algebras of FRT-type

Associating deformed ϕ-coordinated modules for the quantum affine vertex algebra with orthogonal twisted h-Yangians

Deformed quantum vertex algebra modules associated with braidings

A note on the quantum Berezinian for the double Yangian of the Lie superalgebra glm∣n​

Double Yangian and reflection algebras of the Lie superalgebra glm∣n​

Yangian deformations of S-commutative quantum vertex algebras and Bethe subalgebras

Homology of the complexes of finite Verma modules over CK6​

Computation of the homology of the complexes of finite Verma modules for K4′​

An upper bound on the degree of singular vectors for E(1,6)

Classification of finite irreducible conformal modules for K4′​

Double Yangian and reflection algebras of the Lie superalgebra $gl_{M ∣ N}$ , II: Quantum currents

Invariants of the extended twisted $h$ -Yangian

Evaluation-type deformed modules over the quantum affine vertex algebras of type $A$

Associating modules for the $h$ -Yangian and quantum elliptic algebra in type $A$ with $h$ -adic quantum vertex algebras

Associating deformed $ϕ$ -coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$ -Yangians

A note on the quantum Berezinian for the double Yangian of the Lie superalgebra $gl_{m ∣ n}$

Double Yangian and reflection algebras of the Lie superalgebra $gl_{m ∣ n}$

Yangian deformations of $S$ -commutative quantum vertex algebras and Bethe subalgebras

Homology of the complexes of finite Verma modules over $C K_{6}$

Computation of the homology of the complexes of finite Verma modules for $K_{4}^{'}$

An upper bound on the degree of singular vectors for $E (1, 6)$

Classification of finite irreducible conformal modules for $K_{4}^{'}$