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Structure Constants of Diagonal Reduction Algebras of $\mathfrak{gl}$ Type
Symmetry, integrability and geometry: methods and applications, Tome 7 (2011) Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe, in terms of generators and relations, the reduction algebra, related to the diagonal embedding of the Lie algebra $\mathfrak{gl}_n$ into $\mathfrak{gl}_n\oplus\mathfrak{gl}_n$. Its representation theory is related to the theory of decompositions of tensor products of $\mathfrak{gl}$-modules.
Keywords: reduction algebra; extremal projector; Zhelobenko operators. 
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     author = {Sergei Khoroshkin and Oleg Ogievetsky},
     title = {Structure {Constants} of {Diagonal} {Reduction} {Algebras} of $\mathfrak{gl}$ {Type}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a63/}
}
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Sergei Khoroshkin; Oleg Ogievetsky. Structure Constants of Diagonal Reduction Algebras of $\mathfrak{gl}$ Type. Symmetry, integrability and geometry: methods and applications, Tome 7 (2011). http://geodesic.mathdoc.fr/item/SIGMA_2011_7_a63/

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