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Nonpolynomial Hall numbers for tame and wild algebras

A mix of human-written and AI-generated textHuman understanding: some partsmath.RT — Representation Theorymath.RA — Rings and Algebras

Contributed by Qiyue Tang ↗

Version 1 / Nov 04, 2026 / CC BY 4.0

Abstract

We give examples showing that fixed-triple Hall polynomials may fail to exist for tame nonhereditary algebras and for wild algebras, both hereditary and nonhereditary.

Provenance statement

The constructions and proofs were developed through AI-assisted research recorded in the accompanying research archive. Wolfram Language was used for symbolic calculations, and Python and C++ for exact finite-field and matrix checks. Codex was used to audit the arguments, complete their exposition, and polish the manuscript. The work passed a Rethlas-OSV review .

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Version history

  1. v1Submitted by Qiyue TangInitial depositCurrentNov 04, 2026