Double Yangian and reflection algebras of the Lie superalgebra glm|n
Abstract
We study the double Yangian associated with the Lie superalgebra glm|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 of the quantum contraction. Next, as an application, we introduce reflection algebras, certain left coideal subalgebras of the level 0 double Yangian, and find their presentations by generators and relations.
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