Mathematical analysis demonstrates that derived and restricted Lie algebras classify formal moduli problems over specific ring structures, highlighting a core duality in derived geometry.
We show that derived Lie algebras and restricted Lie algebras classify formal moduli problems on Artin divided power algebras and truncated algebras respectively. This article is part of the theme issue 'Derived Lie algebras in geometry and topology'.
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Joost Nuiten (2026) studied this question.
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