PreprintGelfandTsetlin bases for representations of finite Walgebras and shifted YangiansV. Futorny, A. Molev and S. OvsienkoAbstractRemarkable subalgebras of the Yangian for gl_n called the shifted Yangians were introduced in a recent work by Brundan and Kleshchev in relation to their study of finite Walgebras. In particular, in that work a classification of finitedimensional irreducible representations of the shifted Yangians and the associated finite Walgebras was given. We construct a class of these representations in an explicit form via bases of Gelfand–Tsetlin type. This paper is available as a pdf (208kB) file.
