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Hilbert series of representations of categories of $G$-sets
- Publication Year :
- 2024
-
Abstract
- Let $G$ be a finite group. A contravariant functor from the category of finite free $G$-sets to vector spaces has an associated Hilbert series, which records the underlying sequence of $G^n$ representations, $n \in \mathbb N$. We prove that this Hilbert series is rational with denominator given by linear polynomials with coefficients in the field generated by the character table of $G$.<br />Comment: 8 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.19610
- Document Type :
- Working Paper