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This article is cited in 3 scientific papers (total in 3 papers)
Yangians and $\mathcal W$-Algebras
C. Briot, E. Ragoucy Universite de Savoie
Abstract:
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.
Citation:
C. Briot, E. Ragoucy, “Yangians and $\mathcal W$-Algebras”, TMF, 127:3 (2001), 356–366; Theoret. and Math. Phys., 127:3 (2001), 709–718
Linking options:
https://www.mathnet.ru/eng/tmf463https://doi.org/10.4213/tmf463 https://www.mathnet.ru/eng/tmf/v127/i3/p356
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