11 citations · 16 across the 3 of their papers we have counts for
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math.RT2002
Harish-Chandra modules for Yangians
Vyacheslav Futorny, Alexander Molev, Serge Ovsienko
We study Harish-Chandra representations of Yangian for gl(2). We prove an analogue of Kostant theorem showing that resterited Yangians for gl(2) are free modules over certain maxim…
math.RT2000
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups
A. I. Molev, G. I. Olshanski
In our recent papers the centralizer construction was applied to the series of classical Lie algebras to produce the quantum algebras called (twisted) Yangians. Here we extend this…
math.RT1999
A weight basis for representations of even orthogonal Lie algebras
A. I. Molev
A weight basis for each finite-dimensional irreducible representation of the orthogonal Lie algebra o(2n) is constructed. The basis vectors are parametrized by the D-type Gelfand--…