Growth dimensions of axial algebras
Growth dimensions of axial 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 Growth dimensions of axial algebras. https://arxiv.org/html/2606.30048v1#S3.Thmthm24 Not an author-supplied code.
Problem statement
For axial algebras, can Gelfand–Kirillov dimension lie strictly between and ? Classify the algebras of dimension in this growth sense.
Lean 4
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Background
Axial algebras are commutative, generally nonassociative algebras generated by semisimple idempotents with specified eigenspace multiplication rules. The source fixes its terminology in section 2.
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).; Growth dimensions of axial algebras linkIndependently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.
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