Yangian of the periplectic Lie superalgebra (Q6593170)

Let \(\mathfrak{gl}_{M|N}\) be the general linear Lie superalgebra over the complex field \(\mathbb{C}\), where \(M\), \(N\in \mathbb{Z}_{>0}\). The Yangian of \(\mathfrak{gl}_{M|N}\) was introduced by the author in [Lett. Math. Phys. 21, No. 2, 123--131 (1991; Zbl 0722.17004)] by extending the definition of the Yangian \(Y(\mathfrak{gl}_N)\) of the general linear Lie algebra \(\mathfrak{gl}_N\). The Yangian of \(\mathfrak{gl}_{M|N}\) is a deformation of the universal enveloping algebra of the polynomial current Lie superalgebra \(\mathfrak{gl}_{M|N}[u]\) in the class of Hopf algebras. In this paper, M. Nazarov constructs the Yangian for the periplectic Lie superalgebra. For this Yangian he verifies an analogue of the Poincaré-Birkhoff-Witt Theorem. He also introduces a family of free generators of the center of this Yangian.