Separating Invariants For Two Copies Of The Natural S-N-Action

arXiv: Commutative Algebra（2020）

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摘要

This note provides a set of separating invariants for the ring of vector invariants of two copies of the natural S-n-representation over a field of characteristic 0. This set is much smaller than generating sets of For we show that this set is minimal with respect to inclusion among all separating sets.

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关键词

Invariant theory,separating invariants,symmetric group,multisymmetric polynomials

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