Lucia Bagnoli

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20212026

most citedClassification of finite irreducible conformal modules for

K_{4}^{'}

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

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9 papers · 1 filter

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.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…

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

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

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

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

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

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