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Homotopy of the exceptional Lie group G2

Published online by Cambridge University Press:  20 January 2009

Shichiro Oka
Shichiro Oka
Affiliation:
Department of Mathematics, Kyushu University, Fukuoka A12, Japan
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Let G be one of the following compact simply connected Lie groups: SU(3), Sp(2), G2. In the first two cases there is a well known stable decomposition of G as Q ∨ Sd where d = dim G and Q is a certain subspace of G. For SU(3), Q is the stunted complex quasiprojective space Σ(ℂP2/ℂP1) which fits into a cofibration sequence S3→Q→S5 with stable attaching map η:S5 → S4 For Sp(2), Q is the quaternionic quasi-projective space ℍℚ1 and fits into a cofibration sequence S3→Q→S7 with stable attaching map 2ν:S7→S4 (Here η and ν are generators of respectively.)

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 29 , Issue 2 , June 1986 , pp. 145 - 169
Copyright
Copyright © Edinburgh Mathematical Society 1986

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