Formal moduli problems and derived Lie algebras

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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Publication Details

Journal
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
Published
2026-08-28
DOI
https://doi.org/10.1098/rsta.2024.0405
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

Formal moduli problems and derived Lie algebras

Joost Nuiten
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
Advanced Algebra and Logic
article

Formal moduli problems and derived Lie algebras

Joost Nuiten
article en

Abstract

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'.

Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesVol. 384(2328)
Université Toulouse III - Paul Sabatier (FR), Université Fédérale de Toulouse Midi-Pyrénées (FR), Institut National des Sciences Appliquées de Toulouse (FR), Institut de Mathématiques de Toulouse (FR)
Openalex Percentile: Top 98%
Advanced Algebra and Logic
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