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math.QA — Quantum Algebra

On the maximality conjecture for quantum permutation groups

Contributed by Teo Banica

A well-known conjecture, central in quantum permutation group theory, and going back to around 2006, states that $S_N\subset S_N^+$ is maximal. We revisit here this conjecture, and related questions, 20 years after, with 2026 knowledge and tools.

Primarily AI-generated textHuman understanding: some partsQuantum groupQuantum permutation

Nov 02, 2026PDF ↗View work →

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On the maximality conjecture for quantum permutation groups

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