137 citations · 417 across the 29 of their papers we have counts for
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math.RA2011
Zero divisors in reduction algebras
S. Khoroshkin, O. Ogievetsky
We establish the absence of zero divisors in the reduction algebra of a Lie algebra g with respect to its reductive Lie sub-algebra k. The class of reduction algebras include the L…
math.RT2011★ 11 cited
Irreducible representations of Yangians
Sergey Khoroshkin, Maxim Nazarov, Paolo Papi
We give explicit realizations of irreducible representations of the Yangian of the general linear Lie algebra and of its twisted analogues, corresponding to symplectic and orthogon…
math.RA2011★ 10 cited
Structure constants of diagonal reduction algebras of gl type
S. Khoroshkin, O. Ogievetsky
We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra $\gl_n$ into $\gl_n\oplus\gl_n$. Its representation t…