Invariants of GL_n(F_q) in polynomials mod Frobenius powers
Representation Theory
2017-10-10 v3 Commutative Algebra
Combinatorics
Abstract
Conjectures are given for Hilbert series related to polynomial invariants of finite general linear groups, one for invariants mod Frobenius powers of the irrelevant ideal, one for cofixed spaces of polynomials.
Keywords
Cite
@article{arxiv.1403.6521,
title = {Invariants of GL_n(F_q) in polynomials mod Frobenius powers},
author = {Joel Brewster Lewis and Victor Reiner and Dennis Stanton},
journal= {arXiv preprint arXiv:1403.6521},
year = {2017}
}
Comments
28 pages. v2: Added references, and altered discussion in Section 5.3 on module structure of G-cofixed space over G-fixed subalgebra. v3: final version, to appear in Proc. Roy. Soc. Edinburgh A