Finite dimension for finitely generated Jordan-type algebras
Finite dimension for finitely generated Jordan-type algebras. Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
Editorial MSC2020 mapping of Finite dimension for finitely generated Jordan-type algebras. https://arxiv.org/html/2606.30048v1#S4.Thmthm9 Not an author-supplied code.
Problem statement
Must an axial algebra of Jordan type with finitely many generating axes be finite-dimensional? If so, can its dimension be bounded solely in terms of the number of generators?
Lean 4
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Background
Use the Jordan-type fusion law and axial-algebra conventions of section 2. This asks about all finite generating sets, not only the classified small cases.
Progress & source assessment
Current research status is unassessed. The dated source poses this question; inclusion does not certify that it remains open today.
- [1]Gorshkov, I.; Shpectorov, S.. Axial Algebras — Questions and Conjectures (2026).; Finite dimension for finitely generated Jordan-type algebras linkIndependently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.
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Discussion
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