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Displaying similar documents to “An application of classical invariant theory to identifiability in nonparametric mixtures”

The ring of multisymmetric functions

Francesco Vaccarino (2005)

Annales de l’institut Fourier

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We give a presentation (in terms of generators and relations) of the ring of multisymmetric functions that holds for any commutative ring R , thereby answering a classical question coming from works of F. Junker [J1, J2, J3] in the late nineteen century and then implicitly in H. Weyl book “The classical groups” [W].

Calogero-Moser spaces and an adelic W -algebra

Emil Horozov (2005)

Annales de l’institut Fourier

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We introduce a Lie algebra, which we call adelic W -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.

Proof of the Treves theorem on the KdV hierarchy

Leonid Dickey (2005)

Annales de l’institut Fourier

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A new, shorter, proof of the Treves theorem on an algebraic criterion for the first integrals of the KdV hierarchy is given, along with an addition to the theorem.