7 papers · 1 filter
Double Yangian and reflection algebras of the Lie superalgebra , 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 . Extending the Etingof-Kazhdan construction, we…
Invariants of the extended twisted -Yangian
Lucia Bagnoli, Slaven Kožić, Jian Zhang
We investigate the extended twisted -Yangian , a certain algebra which admits both the orthogonal and the symplectic -Yangian as its quotients. We…
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 trigonometric -matrix and elliptic -matrix of the eight-vertex model. We show t…
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…
Double Yangian and reflection algebras of the Lie superalgebra
Lucia Bagnoli, Slaven Kožić
We study the double Yangian associated with the Lie superalgebra . Our main focus is on establishing the Poincaré-Birkhoff-Witt Theorem for the double Yangian…
Yangian deformations of -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 -matrix. They are obtained as Yangian deformations of certain -commutative q…