The ring of multisymmetric functions
By Francesco Vaccarino. 2002
52 citations recorded by the source corpus.
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 in the late nineteen century and then implicitly in H. Weyl book ``The classical groups."
Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c192c50488e6d69b7ab5e702043398fb2ff270b9
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In Algebra and Number Theory
In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- A minimal Set of Generators for the Ring of multisymmetric Functions (2007, background): “A-algebra by γk(xα)×1d−k where (k,xα) ∈ {1,2,...,d}×M∗ is such that gcd(α) = 1 and the total degree |mdeg γk(xα) × 1d−k | = k|α| is less than or equal to max d,r(d −1) . Proof. We repeat the proof in [Vac05]. A result of Fleischmann [Fle98, Thm. 4.6], cf. Corollaries (8.6) and (8.7), shows that Γd A”