PreprintOdd reflections in the Yangian associated with \({\frak gl}(mn)\)A. I. MolevAbstractThe odd reflections is an effective tool in the Lie superalgebra representation theory, as they relate nonconjugate Borel subalgebras. We introduce analogues of the odd reflections for the Yangian \({\rm Y}({\frak gl}_{mn})\) and use them to produce a transition rule for the parameters of the highest weight modules corresponding to a change of the parity sequence. This leads to a description of the finitedimensional irreducible representations of the Yangian associated with an arbitrary parity sequence. This paper is available as a pdf (256kB) file.
