Zobrazeno 1 - 10
of 450
pro vyhledávání: '"A. Kozič"'
Autor:
Bagnoli, Lucia, Kožić, Slaven
We consider the Etingof-Kazhdan quantum vertex algebra $\mathcal{V}^c(\mathfrak{gl}_N)$ associated with the trigonometric $R$-matrix of type $A$. By combining Li's theory of $\phi$-coordinated modules and the ideas from our previous paper, we introdu
Externí odkaz:
http://arxiv.org/abs/2407.00515
Autor:
Torre, Gianpaolo, Catalano, Alberto Giuseppe, Kožić, Sven Benjamin, Franchini, Fabio, Giampaolo, Salvatore Marco
We consider the effects of the competition between different sources of frustration in 1D spin chains through the analysis of the paradigmatic ANNNI model, which possesses an extensive amount of frustration of local origin due to the competition betw
Externí odkaz:
http://arxiv.org/abs/2406.19449
Autor:
Bagnoli, Lucia, Kožić, Slaven
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 algebras associated with the rational $R$-matrices of classical types
Externí odkaz:
http://arxiv.org/abs/2405.04137
Publikováno v:
Journal of Algebra 660 (2024), 147-189
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 Lie algebras of type $C_l^{(1)}$, $D_{l+1}^{(2)}$ and $A_{2l}^{(2)}$.
Externí odkaz:
http://arxiv.org/abs/2403.05456
Autor:
Bagnoli, Lucia, Kožić, Slaven
In this note, we generalize the notion of quantum Berezinian to the double Yangian ${\rm DY}(\mathfrak{gl}_{m|n})$ of the Lie superalgebra $\mathfrak{gl}_{m|n}$. We show that its coefficients form a family of algebraically independent topological gen
Externí odkaz:
http://arxiv.org/abs/2402.00487
Autor:
Bagnoli, Lucia, Kožić, Slaven
Publikováno v:
Commun. Contemp. Math. (2024)
We study the double Yangian associated with the Lie superalgebra $\mathfrak{gl}_{m|n}$. Our main focus is on establishing the Poincar\'{e}-Birkhoff-Witt Theorem for the double Yangian and constructing its central elements in the form of coefficients
Externí odkaz:
http://arxiv.org/abs/2311.02410
Publikováno v:
J. Phys. Complex. 5 015001 (2024)
A framework for studying the behavior of a classically frustrated signed network in the process of random rewiring is developed. We describe jump probabilities for change in frustration and formulate a theoretical estimate in terms of the master equa
Externí odkaz:
http://arxiv.org/abs/2308.12389
Autor:
Bagnoli, Lucia, Kožić, Slaven
Publikováno v:
Transformation Groups (2024)
We construct a new class of quantum vertex algebras associated with the normalized Yang $R$-matrix. They are obtained as Yangian deformations of certain $\mathcal{S}$-commutative quantum vertex algebras and their $\mathcal{S}$-locality takes the form
Externí odkaz:
http://arxiv.org/abs/2307.03112
Publikováno v:
J. Algebra 638 (2024), 465-487
We consider certain infinite dimensional modules of level 1 for the double Yangian $\text{DY}(\mathfrak{gl}_2)$ which are based on the Iohara-Kohno realization. We show that they possess topological bases of Feigin-Stoyanovsky-type, i.e. the bases ex
Externí odkaz:
http://arxiv.org/abs/2301.04732
Autor:
Butorac, Marijana, Kožić, Slaven
Publikováno v:
Comm. Algebra 51 (2023), 4012-4032
We consider the standard modules of rectangular highest weights of affine Lie algebras in types $A_{2l-1}^{(2)}$ and $D_{l+1}^{(2)}$. By using vertex algebraic techniques we construct the combinatorial bases for standard modules and their principal s
Externí odkaz:
http://arxiv.org/abs/2211.05171