imagined and anticipated in the form of demands by competing discourses that always seem to position us.

In this article we apply representation theory of Yangians to the classical invariant theory. Let us consider the action of the Lie algebra glN × glM in the space P of polynomial functions on C⊗ C . This action is multiplicity-free, and its irreducible components are parametrized by Young diagrams λ with not more than N,M rows. As a result, the space I of glN × glM invariant differential operat...

We consider the regime of fully developed isotropic and homogeneous turbulence of the Navier-Stokes equation with a stochastic forcing. We present two gauge symmetries of the corresponding Navier-Stokes field theory and derive the associated general Ward identities. Furthermore, by introducing a local source bilinear in the velocity field, we show that these symmetries entail an infinite set of...