Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 205-02. A Cyclic Polytabloid Proof of Saxl's Conjecture

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Authors: OpenAI. Family 205.

Title: A Cyclic Polytabloid Proof of Saxl's Conjecture.

Abstract: For every staircase partition, we prove that the tensor square of the corresponding irreducible complex representation of the symmetric group contains every irreducible representation of that group. This proves Saxl's conjecture.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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