Marijana Butorac

activity

20122026

most cited

h

-adic quantum vertex algebras associated with rational

R

-matrix in types

B

C

and

D

10 citations · 31 across the 15 of their papers we have counts for

collaborators

15 papers

math.QA2026

Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity

Marijana Butorac, Slaven Kožić, Mirko Primc

We construct a quasi-particle basis of the integrable highest weight module of highest weight $3 Λ_{0}$ for the twisted affine Lie algebra of type $A_{2}^{(2)}$ in the principal realiza…

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.RT2024

Lepowsky's and Wakimoto's product formulas for the affine Lie algebras $C_{l}^{(1)}$

Marijana Butorac, Slaven Kožić, Arne Meurman +1

In this paper, we recall Lepowsky's and Wakimoto's product character formulas formulated in a new way by using arrays of specialized weighted crystals of negative roots for affine…

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.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.QA2020

A note on principal subspaces of the affine Lie algebras in types $B_{l}^{(1)}$ , $C_{l}^{(1)}$ , $F_{4}^{(1)}$ and $G_{2}^{(1)}$

Marijana Butorac

We construct quasi-particle bases of principal subspaces of standard modules $L (Λ)$ , where $Λ = k_{0} Λ_{0} + k_{j} Λ_{j}$ , and $Λ_{j}$ denotes the fundamental weight of affine Lie algebras of typ…

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★ 2 cited

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2 l - 1}^{(2)}$ , $D_{l}^{(2)}$ , $E_{6}^{(2)}$ and $D_{4}^{(3)}$

Marijana Butorac, Christopher Sadowski

We construct combinatorial bases of principal subspaces of standard modules of level $k \geq 1$ with highest weight $k Λ_{0}$ for the twisted affine Lie algebras of type $A_{2l-1}^{(2…

math.QA2016★ 1 cited

Quasi-particle bases of principal subspaces of the affine Lie algebra of type $G_{2}^{(1)}$

Marijana Butorac

The aim of this work is to construct the quasi-particle basis of principal subspace of standard module of highest weight $k Λ_{0}$ of level $k \geq 1$ of affine Lie algebra of type $G_…

math.QA2015★ 3 cited

Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_{l}^{(1)}$ and $C_{l}^{(1)}$

Marijana Butorac

Generalizing our earlier work, we construct quasi-particle bases of principal subspaces of standard module $L_{X_{l}^{(1)}} (k Λ_{0})$ and generalized Verma module $N_{X_{l}^{(1)}} (k Λ_{0})$ …

math.QA2012★ 2 cited

Combinatorial bases of principal subspaces for affine Lie algebra of type B_2^(1)

Marijana Butorac

We consider principal subspaces $W_{L (k Λ_{0})}$ and $W_{N (k Λ_{0})}$ of standard module $L (k Λ_{0})$ and generalized Verma module $N (k Λ_{0})$ at level $k \geq 1$ for affine Lie algebra of typ…

Quasi-particles and the Kanade-Russell and Kurşungöz formula for Capparelli's identity

On two families of quantum vertex algebras of FRT-type

Lepowsky's and Wakimoto's product formulas for the affine Lie algebras Cl(1)​

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

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

A note on principal subspaces of the affine Lie algebras in types Bl(1)​, Cl(1)​, F4(1)​ and G2(1)​

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

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type A2l−1(2)​, Dl(2)​, E6(2)​ and D4(3)​

Quasi-particle bases of principal subspaces of the affine Lie algebra of type G2(1)​

Quasi-particle bases of principal subspaces for the affine Lie algebras of types Bl(1)​ and Cl(1)​

Combinatorial bases of principal subspaces for affine Lie algebra of type B_2^(1)

Lepowsky's and Wakimoto's product formulas for the affine Lie algebras $C_{l}^{(1)}$

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 Heisenberg algebra associated with the rational $R$ -matrix

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

A note on principal subspaces of the affine Lie algebras in types $B_{l}^{(1)}$ , $C_{l}^{(1)}$ , $F_{4}^{(1)}$ and $G_{2}^{(1)}$

$h$ -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 $F$

Combinatorial bases of principal subspaces of modules for twisted affine Lie algebras of type $A_{2 l - 1}^{(2)}$ , $D_{l}^{(2)}$ , $E_{6}^{(2)}$ and $D_{4}^{(3)}$

Quasi-particle bases of principal subspaces of the affine Lie algebra of type $G_{2}^{(1)}$

Quasi-particle bases of principal subspaces for the affine Lie algebras of types $B_{l}^{(1)}$ and $C_{l}^{(1)}$