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math.QA2023★ 4 cited
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…
math.QA2023★ 1 cited
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…
math.QA2023
Semi-infinite construction for the double Yangian of type
Marijana Butorac, Naihuan Jing, Slaven Kožić +1
We consider certain infinite dimensional modules of level 1 for the double Yangian which are based on the Iohara-Kohno realization. We show that they p…