4 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 . We construct families of central elements in th…
Invariants of the extended twisted -Yangian
Lucia Bagnoli, Slaven KožiÄ, 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 KožiÄ
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 KožiÄ, 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…