The odd reflections are an effective tool in the Lie superalgebra representation theory, as
they relate non-conjugate Borel subalgebras. We introduce analogues of the odd reflections …

We classify the finite-dimensional irreducible representations of the super Yangian
associated with the orthosymplectic Lie superalgebra osp 2| 2 n. The classification is given …

We study the Gaudin models associated with gl (1| 1). We give an explicit description of the
algebra of Hamiltonians (Gaudin Hamiltonians) acting on tensor products of polynomial …

A bstract We study the\({\mathfrak {gl}} _ {m\mid n}\) XXX spin chains defined on tensor
products of highest weight\({\mathfrak {gl}} _ {m\mid n}\)-modules. We show that the on-shell …

We study the super analogue of the Molev-Ragoucy reflection algebras, which we call
twisted super Yangians of type AIII, and classify their finite-dimensional irreducible …

Motivated by an open problem proposed in Molev's book\cite [Section 2.16, Example
16]{Mo07}, we investigate the quantum Berezinian $\mathfrak {B}^{tw}(u) $ associated with …

We are concerned with finite-dimensional irreducible representations of the Yangians
associated with the orthosymplectic Lie superalgebras osp 2 n+ 1| 2 m. Every such …

Abstract Let YM| N (s) be the super Yangian associated with an arbitrary fixed 0 M 1 N-
sequence s. In the present paper, we give a new formula for the quantum Berezinian by …

We studied the Gaudin models with gl (1| 1) symmetry that are twisted by a diagonal matrix
and defined on tensor products of polynomial evaluation gl (1| 1)[t]-modules. Namely, we …

The goal of this paper is to generalize a statement by Drinfeld, asserting that Yangians can
be constructed as limit forms of the quantum loop algebras, to the super case. We establish …