Geodesic
Yangians and $\mathcal W$-Algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 356-366

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We present a connection between $\mathcal W$-algebras and Yangians in the case of $gl(N)$ algebras, as well as for twisted Yangians and super-Yangians. We illustrate this connection, which allows constructing an $R$-matrix for the $\mathcal W$-algebras and classifying their finite-dimensional irreducible representations, in the framework of the nonlinear Schrödinger equation in $1+1$ dimensions. 
@article{TMF_2001_127_3_a1,
     author = {C. Briot and E. Ragoucy},
     title = {Yangians and $\mathcal W${-Algebras}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {356--366},
     publisher = {mathdoc},
     volume = {127},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a1/}
}
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C. Briot; E. Ragoucy. Yangians and $\mathcal W$-Algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 3, pp. 356-366. http://geodesic.mathdoc.fr/item/TMF_2001_127_3_a1/