Back to Search
Start Over
Modular invariants of a vector and a covector for some elementary abelian $p$-groups
- Publication Year :
- 2023
-
Abstract
- Let $\mathbb{F}_p$ be the prime field of order $p>0$ and $G$ be an elementary abelian $p$-group.For some $n$-dimensional cohyperplane $G$-representations $V$ over $\mathbb{F}_p$, we show that $\mathbb{F}_p[V\oplus V^*]^G$, the invariant ring of a vector and a covector is a complete intersection by exhibiting an explicit generating set (in fact, a SAGBI basis) and exposing all relations among the generators.<br />Comment: 10 pages; accepted for publication by Comm. Algebra
- Subjects :
- Mathematics - Commutative Algebra
13A50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.07520
- Document Type :
- Working Paper