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math.QA2005
On the R-matrix realization of Yangians and their representations
D. Arnaudon, A. Molev, E. Ragoucy
We study the Yangians Y(a) associated with the simple Lie algebras a of type B, C or D. The algebra Y(a) can be regarded as a quotient of the extended Yangian X(a) whose defining r…
math.QA2005
Verma modules for Yangians
Y. Billig, V. Futorny, A. Molev
We study the Verma modules M(mu(u)) over the Yangian Y(a) associated with a simple Lie algebra a. We give necessary and sufficient conditions for irreducibility of M(mu(u)). Moreov…