2 papers
math.AC2026
Symmetric and Isotypic Hilbert Series for Symmetric Ideals
Henri Breloer, Cordian Riener
An ideal in a polynomial ring is symmetric if it is invariant under any permutation of variables. In this paper, we define and study the symmetric and isotypic Hilbert series for s…
math.AC2025
Rational invariants of even degree polynomials under the orthogonal group
Henri Breloer
In this article, we construct a generating set of rational invariants for the action of the orthogonal group on the space of real hom…