2026/07/21 by Lucia Bagnoli, Slaven Kožić, Jian Zhang
#math.QA #math.RT
We investigate the extended twisted h-Yangian \rm YN,htw, a certain algebra which admits both the orthogonal and the symplectic h-Yangian as its quotients. We show that \rm YN,htw is naturally equipped with the structure of restricted module for a certain algebra \rm DYN,h,ctw, which resembles the quantum double, as well as with the structure of ϕ-coordinated quasi module for the Etingof-Kazhdan quantum affine vertex algebra associated with the trigonometric R-matrix of type A. Finally, we demonstrate how the elements of the quantum Feigin--Frenkel center give rise to explicit formulas for central elements of \rm DYN,h,ctw and invariants of \rm YN,htw at the critical level, as well as to commutative families in the orthogonal and symplectic h-Yangians.