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A note of the Gorenstein symmetry conjecture (II)

A mix of human-written and AI-generated textHuman understanding: some partsmath.RT — Representation Theory

Contributed by Qiyue Tang ↗

Version 1 / Oct 26, 2026 / CC BY 4.0

Abstract

We prove the Gorenstein symmetry conjecture for every finite-dimensional split square-zero extension of an algebra derived equivalent, over the ground field, to a finite-dimensional hereditary algebra.

Provenance statement

The above results are partial results extracted from several lengthy, multi-turn conversations with AI. They have first been compiled into a Note for reference. The text has undergone some polishing and revision, and the content has been subjected to independent adversarial review by AI.

References

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Version history

  1. v1Submitted by Qiyue TangInitial depositCurrentOct 25, 2026