English

Invariant Theory of finite general linear groups modulo Frobenius powers

Rings and Algebras 2022-12-29 v1 Combinatorics Representation Theory

Abstract

We prove some cases of a conjecture of Lewis, Reiner and Stanton regarding Hilbert series corresponding to the action of Gln(Fq)Gl_n(\mathbb{F}_q) on a polynomial ring modulo Frobenius powers. We also give a few conjectures about the invariant ring for certain cases that we don't prove completely.

Keywords

Cite

@article{arxiv.1701.06329,
  title  = {Invariant Theory of finite general linear groups modulo Frobenius powers},
  author = {Pallav Goyal},
  journal= {arXiv preprint arXiv:1701.06329},
  year   = {2022}
}