Homology of the triple loop space of the exceptional Lie group $F_4$

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J. Korean Math. Soc. 1998; 35(1): 149-164

Printed March 1, 1998

Younggi Choi and Seonhee Yoon

The University of Seoul and Seoul National University

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We study the homology of the triple loop space of the exceptional Lie group $F_{4}$ by exploiting the spectral sequences and the homology operations.

Keywords: exceptional Lie group $F_{4}$, Serre spectral sequence, Eilenberg--Moore spectral sequence, triple loop space, Dyer--Lashof operation

MSC numbers: 55R20, 55S12