Serre Relations in Yangian Doubles
A. Liashyk, S. Pakuliak, E. Ragoucy
Abstract
Following the approach of B.~Enriquez~E we exhibit the analytical properties of the products of the currents in the Yangian doubles restricted to the category of the highest weight representations. We will demonstrate that the Serre relations for the simple root currents in the Drinfeld's 'new' realization of the Yangian doubles Dnew,KhT-DY,LP1 can be reformulated as quadratic commutation relations between composed currents for the Yangian doubles associated with Lie algebras of the classical series.
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