Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Bagnoli, Lucia"'
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:
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
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
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
Autor:
Bagnoli, Lucia
We compute the homology of the first and third quadrants of the complexes of finite Verma modules over the annihilation superalgebra $\mathcal{A}(CK_{6})\cong E(1,6)$, associated with the conformal superalgebra $CK_6$, obtained in \cite{ck6}. This co
Externí odkaz:
http://arxiv.org/abs/2212.06698
Autor:
Bagnoli, Lucia
We compute the homology of the complexes of finite Verma modules over the annihilation superalgebra $\mathcal A(K'_{4})$, associated with the conformal superalgebra $K'_{4}$, obtained in \cite{K4}. We use the computation of the homology in order to p
Externí odkaz:
http://arxiv.org/abs/2108.00458
Autor:
Bagnoli, Lucia
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 the exceptional Lie superalgebra $E(1,6)$ that is isomorphic to the an
Externí odkaz:
http://arxiv.org/abs/2106.01990
Autor:
Bagnoli, Lucia, Caselli, Fabrizio
We classify the finite irreducible modules over the conformal superalgebra $K'_{4}$ by their correspondence with finite conformal modules over the associated annihilation superalgebra $\mathcal A(K'_{4})$. This is achieved by a complete classificatio
Externí odkaz:
http://arxiv.org/abs/2103.16374
