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- W1565185570 abstract "We show that the ring of multisymmetric functions over a commutative ring is isomorphic to the ring generated by the coefficients of the characteristic polynomial of polynomials in commuting generic matrices. As a consequence we give a surjection from the ring of invariants of several matrices to the ring of multisymmetric functions generalizing a classical result of H.Weyl and F.Junker. We also find a surjection from the ring of invariants over the commuting scheme to the ring of multisymmetric functions. This surjection is an isomophism over a characteristic zero field and induces an isomorphism at the level of reduced structures over an infinite field of positive characteristic." @default.
- W1565185570 created "2016-06-24" @default.
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- W1565185570 date "2006-02-28" @default.
- W1565185570 modified "2023-09-27" @default.
- W1565185570 title "Symmetric products, linear representations and the commuting scheme" @default.
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