ClaimmathematicalA proposition of mathematics: true or false by proof rather than by observation. Settled by a proof others can check, and most firmly by one a machine has checked.constitution →importance · notableImportance 0.55, from 0 to 1 · notable: a contested point in a live debate (also the default before judging). Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

TopicsDixmier conjecture Weyl algebra Noncommutative algebra

The Dixmier conjecture is false for the Weyl algebra A₃.

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Decomposition

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This gives DC₃ false, explicitly, in the correct (unaltered) rank, not via non-constructive stable equivalence [5].

An Independent Lean 4 Verification of the Alpöge–Fable Counterexampleextraction 0.85

§3, describing an explicit endomorphism of the third Weyl algebra shown non-surjective

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Created by extractor · Sep 18, 2026. Every judgment on this page is accompanied by a reasoning trace.