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An integral presentation for the scalar products of nested Bethe vectors for the quantum integrable models associated with the quantum affine algebra U q ( gl b 3 ) is given..

(See also a different approach in the unpublished manuscript [ 7 ].) For a Poisson manifold, the modular class coincides up to a factor 2 with the modular class of its cotangent

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In this paper we study the sl (2)-trivial deformations of the space of symbols of differential operators which is a Vect Pol ( R )-module, so we begin by studying some properties of