Homology of the double and the triple loop spaces of E-6, E-7 and E-8

Authors
Citation
Yg. Choi et S. Yoon, Homology of the double and the triple loop spaces of E-6, E-7 and E-8, MANUSC MATH, 103(1), 2000, pp. 101-116
Citations number
17
Categorie Soggetti
Mathematics
Journal title
MANUSCRIPTA MATHEMATICA
ISSN journal
00252611 → ACNP
Volume
103
Issue
1
Year of publication
2000
Pages
101 - 116
Database
ISI
SICI code
0025-2611(200009)103:1<101:HOTDAT>2.0.ZU;2-F
Abstract
We study the mod p homology of the double and the triple loop spaces of exc eptional Lie groups E-6, E-7, and E-8 through the Eilenberg-Moore spectral sequence and the Serre spectral sequence using homology operations. The Boc kstein actions on them are also determined. As a result, the Eilenberg-Moor e spectral sequences of the path loop fibrations converging to H-*(Omega (2 )G; F-p) and H-*(Omega (3) C; F-p) collapse at the E-2-term for any compact simple Lie group G.