MathDBJames's conjecture for weight-5 blocks of Hecke algebras
James's conjecture for weight-5 blocks of Hecke algebras
Let be a Hecke algebra and consider its blocks, with the weight of a block defined in the usual block-theoretic sense.
James's conjecture. James's conjecture holds for all weight blocks of .
The claim is based on computations made while searching for the paper's counterexample. The source gives no proof or independent resolution, so the conjecture remains open as stated.
Sources & referencesView supporting material
Primary source
Liron Speyer, “The minimal counterexample to James's conjecture”, arXiv:2601.08218 (2026).
Additional references
6 papers in this index state this conjecture (2006–2026). The statement above is taken from the most recent of them; the others are arXiv:2310.08156, arXiv:1909.07114, arXiv:1109.1489, arXiv:0909.4844, arXiv:math/0603314.
Progress summary
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