RTT presentation of finite 𝒲-algebras

C Briot, E Ragoucy Ā· Journal of Physics A Mathematical and General Ā· 2001

We construct a wide class of finite -algebras as truncations of Yangians. These truncations correspond to algebra homomorphisms and allow us to construct the -algebras as exchange algebras, the R -matrix being the Yangian one. As an application, we classify all irreducible finite-dimensional representations of these -algebras and determine their centre.

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