Invariants of GL_n(F_q) in polynomials mod Frobenius powers

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.

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

References in corpus (1)

• Representations of Rational Cherednik Algebras in Positive Characteristic

Cited by in corpus (2)

• Invariant Theory of finite general linear groups modulo Frobenius powers
• Torsions in Cohomology of ${\text{SL}}_2(\mathbb{Z})$ and Congruence of Modular Forms