Axial Algebras — Questions and Conjectures
All 94 source-labeled problems indexed; two selected questions summarized. Terminology is defined in section 2 of the linked paper.
94 catalogue entries · 2 new problem records · 2 catalogue entries linked to problem records
Catalogue entries can be source pointers, solved items or groups of questions. They are not added to the main problem count. Status reflects the saved source, inspected 2026-09-10.
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Independently written short question summaries and bibliographic pointers. No blanket redistribution license asserted for the original text.
94 matching entries
Clear filtersProblem 3.1
Status unassessed3.1 Frobenius form
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.2
Status unassessed3.1 Frobenius form
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.3
Status unassessed3.1 Frobenius form
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.6
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.8
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.9
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.11
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.12
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.13
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.14
Status unassessed3.2 Structure
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.17
Status unassessed3.3 Inner Lie algebra
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.18
Status unassessed3.3 Inner Lie algebra
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.19
Status unassessed3.3 Inner Lie algebra
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.20
Status unassessed3.3 Inner Lie algebra
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.22
Status unassessed3.3 Inner Lie algebra
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Growth dimensions of axial algebras
Status unassessedSelected source questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.25
Status unassessed3.4 Gelfand-Kirillov dimension
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 3.26
Status unassessed3.4 Gelfand-Kirillov dimension
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.1
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.2
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.3
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.4
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.5
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.6
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.7
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.8
Status unassessed4.1 General questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Finite dimension for finitely generated Jordan-type algebras
Status unassessedSelected source questions
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.10
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.11
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.13
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.14
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.15
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.16
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.17
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.18
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.19
Status unassessed4.2 Small number of generators
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.22
Status unassessed4.3 Modules for algebras of Jordan type
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.23
Status unassessed4.3 Modules for algebras of Jordan type
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.25
Status unassessed4.4 Solid subalgebras, components
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.26
Status unassessed4.4 Solid subalgebras, components
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.27
Status unassessed4.4 Solid subalgebras, components
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.32
Status unassessed4.4 Solid subalgebras, components
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.33
Status unassessed4.4 Solid subalgebras, components
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.34
Status unassessed4.4 Solid subalgebras, components
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.35
Status unassessed4.5 Unitality
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.36
Status unassessed4.5 Unitality
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.37
Status unassessed4.6 Simplicity of the Miyamoto group
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 4.38
Status unassessed4.6 Simplicity of the Miyamoto group
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 5.1
Status unassessed5.1 General algebras of Monster type
Numbered source pointer; current status and subsequent updates require checking in the linked source.
Problem 5.2
Status unassessed5.1 General algebras of Monster type
Numbered source pointer; current status and subsequent updates require checking in the linked source.