Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 205-01. Universal Tensor Squares for Symmetric Groups
Manuscript map · lines 6045–6054
OpenAI@2026-10-07#rem:oai-p-205-01
Authors: OpenAI. Family 205.
Title: Universal Tensor Squares for Symmetric Groups.
Abstract: For every positive integer n other than 2, 4, and 9, we prove that some irreducible complex representation of Sn has a tensor square containing every irreducible representation. This resolves the tensor square conjecture for symmetric groups affirmatively.
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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