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On the Second Homotopy Group of Spaces of Commuting Elements in Lie Groups

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Publication:5871249
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DOI10.1093/IMRN/RNAB259OpenAlexW3204900262WikidataQ115273869 ScholiaQ115273869MaRDI QIDQ5871249

Simon Philipp Gritschacher, Adem, Alejandro, José Manuel Estebaranz Gómez

Publication date: 18 January 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09045


zbMATH Keywords

Lie groupspace of representationssimple Lie groupSchur multiplierprincipal \(G\)-bundleDynkin indexclassifying space for commutativitytransitionally commutative structure


Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) General properties and structure of real Lie groups (22E15)


Related Items (2)

On the fundamental group of Hom\(({\mathbb Z}^k,G)\) ⋮ Spaces of commuting elements in the classical groups







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