Unstable homotopy groups and Lie algebras

We survey the role of Lie algebras in the study of unstable homotopy groups. 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.2024.0396
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Unstable homotopy groups and Lie algebras

Mark Behrens, Connor Malin
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
Advanced Topics in Algebra
article

Unstable homotopy groups and Lie algebras

Mark Behrens, Connor Malin
article en

Abstract

We survey the role of Lie algebras in the study of unstable homotopy groups. 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)
University of Notre Dame (US), Max Planck Institute for Mathematics (DE)
Openalex Percentile: Top 96%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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Unstable homotopy groups and Lie algebras — Mark Behrens, Connor Malin · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences (2026) | TGRS Research Map | TGRS