Homotopy commutativity in symmetric spaces

We extend previous results of Ganea and the two of the authors with Takeda on the homotopy commutativity of the loop spaces of Hermitian symmetric spaces to show that the loop spaces of all irreducible symmetric spaces but C P 3 are not homotopy commutative.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Boletín de la Sociedad Matemática Mexicana 2024-07, Vol.30 (2), Article 42
Hauptverfasser:	Kishimoto, Daisuke, Minowa, Yuki, Miyauchi, Toshiyuki, Tong, Yichen
Format:	Artikel
Sprache:	eng
Schlagworte:	Commutativity Mathematics Mathematics and Statistics Original Article
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We extend previous results of Ganea and the two of the authors with Takeda on the homotopy commutativity of the loop spaces of Hermitian symmetric spaces to show that the loop spaces of all irreducible symmetric spaces but C P 3 are not homotopy commutative.
ISSN:	1405-213X 2296-4495
DOI:	10.1007/s40590-024-00616-5