S. Kožić

activity

20132026

most citedCenter of the quantum affine vertex algebra in type A

20 citations · 105 across the 27 of their papers we have counts for

collaborators

27 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.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

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.QA2023

Semi-infinite construction for the double Yangian of type $A_{1}^{(1)}$

Marijana Butorac, Naihuan Jing, Slaven Kožić +1

We consider certain infinite dimensional modules of level 1 for the double Yangian $DY (gl_{2})$ which are based on the Iohara-Kohno realization. We show that they p…

math.RT2022

Combinatorial bases of standard modules of twisted affine Lie algebras in types $A_{2 l - 1}^{(2)}$ and $D_{l + 1}^{(2)}$ : rectangular highest weights

Marijana Butorac, Slaven Kožić

We consider the standard modules of rectangular highest weights of affine Lie algebras in types $A_{2 l - 1}^{(2)}$ and $D_{l + 1}^{(2)}$ . By using vertex algebraic techniques we constr…

math.QA2022

A note on constructing quasi modules for quantum vertex algebras from twisted Yangians

Slaven Kožić, Marina Sertić

In this note, we consider the twisted Yangians $Y (g_{N})$ associated with the orthogonal and symplectic Lie algebras $g_{N} = o_{N}, sp_{N}$ …

math.QA2022

On the $h$ -adic quantum vertex algebras associated with Hecke symmetries

Slaven Kožić

We study the quantum vertex algebraic framework for the Yangians of RTT-type and the braided Yangians associated with Hecke symmetries, introduced by Gurevich and Saponov. First, w…

math.QA2021★ 6 cited

$h$ -adic quantum vertex algebras in types $B$ , $C$ , $D$ and their $ϕ$ -coordinated modules

Slaven Kožić

We introduce the $h$ -adic quantum vertex algebras associated with the trigonometric $R$ -matrices in types $B$ , $C$ and $D$ , thus generalizing the well-known Etingof-Kazhdan constru…

math.QA2021

On the Heisenberg algebra associated with the rational $R$ -matrix

Marijana Butorac, Slaven Kožić

We associate a deformation of Heisenberg algebra to the suitably normalized Yang $R$ -matrix and we investigate its properties. Moreover, we construct new examples of quantum vertex…

math.QA2020

Principal subspaces for the quantum affine vertex algebra in type $A_{1}^{(1)}$

Marijana Butorac, Slaven Kožić

By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and Milas we introduce and study the principal subspaces associated with the Etingof-Kazhdan quantum affine ver…

math.QA2020★ 5 cited

Parafermionic bases of standard modules for affine Lie algebras

Marijana Butorac, Slaven Kožić, Mirko Primc

In this paper we construct combinatorial bases of parafermionic spaces associated with the standard modules of the rectangular highest weights for the untwisted affine Lie algebras…

math.QA2019★ 7 cited

On the quantum affine vertex algebra associated with trigonometric $R$ -matrix

Slaven Kožić

We apply the theory of $ϕ$ -coordinated modules, developed by H.-S. Li, to the Etingof--Kazhdan quantum affine vertex algebra associated with the trigonometric $R$ -matrix of type $A…

math.QA2019★ 10 cited

$h$ -adic quantum vertex algebras associated with rational $R$ -matrix in types $B$ , $C$ and $D$

Marijana Butorac, Naihuan Jing, Slaven Kožić

We introduce the $h$ -adic quantum vertex algebras associated with the rational $R$ -matrix in types $B$ , $C$ and $D$ , thus generalizing the Etingof--Kazhdan's construction in type $…

math.QA2019★ 8 cited

Principal subspaces for the affine Lie algebras in types $D$ , $E$ and $F$

Marijana Butorac, Slaven Kožić

We consider the principal subspaces of certain level $k ⩾ 1$ integrable highest weight modules and generalized Verma modules for the untwisted affine Lie algebras in types $…

math.QA2018★ 4 cited

Quantum current algebras associated with rational $R$ -matrix

Slaven Kožić

We study quantum current algebra $A (R)$ associated with the rational $R$ -matrix of $gl_{N}$ and we give explicit formulae for the elements of its cente…

math.QA2017★ 4 cited

Quasi modules for the quantum affine vertex algebra in type $A$

Slaven Kožić

We consider the quantum affine vertex algebra $V_{c} (gl_{N})$ associated with the rational $R$ -matrix, as defined by Etingof and Kazhdan. We introduce certain su…

math.QA2016★ 7 cited

Center of the quantum affine vertex algebra associated with trigonometric R-matrix

Slaven Kožić, Alexander Molev

We consider the quantum vertex algebra associated with the trigonometric R-matrix in type A as defined by Etingof and Kazhdan. We show that its center is a commutative associative…

math.QA2016★ 1 cited

Higher level vertex operators for $U_{q} (sl^_{2})$

Slaven Kozic

We study graded nonlocal $q$ -vertex algebras and we prove that they can be generated by certain sets of vertex operators. As an application, we consider the fa…

math.QA2016★ 20 cited

Center of the quantum affine vertex algebra in type A

Naihuan Jing, Slaven Kožić, Alexander Molev +1

We consider the quantum vertex algebra associated with the double Yangian in type A as defined by Etingof and Kazhdan. We show that its center is a commutative associative algebra…

math.QA2015★ 6 cited

Vertex operators and principal subspaces of level one for $U_{q} (sl_{2})$

Slaven Kozic

We consider two different methods of associating vertex algebraic structures with the level $1$ principal subspaces for $U_{q} (sl_{2})$ . In the first approach, we…

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

Invariants of the extended twisted h-Yangian

On two families of quantum vertex algebras of FRT-type

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

Semi-infinite construction for the double Yangian of type A1(1)​

Combinatorial bases of standard modules of twisted affine Lie algebras in types A2l−1(2)​ and Dl+1(2)​: rectangular highest weights

A note on constructing quasi modules for quantum vertex algebras from twisted Yangians

On the h-adic quantum vertex algebras associated with Hecke symmetries

h-adic quantum vertex algebras in types B, C, D and their ϕ-coordinated modules

On the Heisenberg algebra associated with the rational R-matrix

Principal subspaces for the quantum affine vertex algebra in type A1(1)​

Parafermionic bases of standard modules for affine Lie algebras

On the quantum affine vertex algebra associated with trigonometric R-matrix

h-adic quantum vertex algebras associated with rational R-matrix in types B, C and D

Principal subspaces for the affine Lie algebras in types D, E and F

Quantum current algebras associated with rational R-matrix

Quasi modules for the quantum affine vertex algebra in type A

Center of the quantum affine vertex algebra associated with trigonometric R-matrix

Higher level vertex operators for Uq​(sl^2​)

Center of the quantum affine vertex algebra in type A

Vertex operators and principal subspaces of level one for Uq​(sl2​)

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

Invariants of the extended twisted $h$ -Yangian

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

Semi-infinite construction for the double Yangian of type $A_{1}^{(1)}$

Combinatorial bases of standard modules of twisted affine Lie algebras in types $A_{2 l - 1}^{(2)}$ and $D_{l + 1}^{(2)}$ : rectangular highest weights

On the $h$ -adic quantum vertex algebras associated with Hecke symmetries

$h$ -adic quantum vertex algebras in types $B$ , $C$ , $D$ and their $ϕ$ -coordinated modules

On the Heisenberg algebra associated with the rational $R$ -matrix

Principal subspaces for the quantum affine vertex algebra in type $A_{1}^{(1)}$

On the quantum affine vertex algebra associated with trigonometric $R$ -matrix

$h$ -adic quantum vertex algebras associated with rational $R$ -matrix in types $B$ , $C$ and $D$

Principal subspaces for the affine Lie algebras in types $D$ , $E$ and $F$

Quantum current algebras associated with rational $R$ -matrix

Quasi modules for the quantum affine vertex algebra in type $A$

Higher level vertex operators for $U_{q} (sl^_{2})$

Vertex operators and principal subspaces of level one for $U_{q} (sl_{2})$