When is the Algebra of Multisymmetric Polynomials Generated by the Elementary Multisymmetric Polynomials?
نویسنده
چکیده
Multisymmetric polynomials are the r-fold diagonal invariants of the symmetric group Sn. Elementary multisymmetric polynomials are analogues of the elementary symmetric polynomials, in the multisymmetric setting. In this paper, we give a necessary and sufficient condition on a ring A for the algebra of multisymmetric polynomials with coefficients in A to be generated by the elementary multisymmetric polynomials.
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