Homotopy of the exceptional Lie group G2
Copyright policy )Homotopy of the exceptional Lie group G2
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.)
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stable decomposition of \(G_ 2\), self-maps of \(G_ 2\), H-structure, Homotopy groups of special spaces, K-theory spheres, Adams e-invariant, Stable homotopy of spheres, Stable homotopy groups, \(H\)-spaces and duals, exceptional Lie group, mod 2 Moore space, Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
stable decomposition of \(G_ 2\), self-maps of \(G_ 2\), H-structure, Homotopy groups of special spaces, K-theory spheres, Adams e-invariant, Stable homotopy of spheres, Stable homotopy groups, \(H\)-spaces and duals, exceptional Lie group, mod 2 Moore space, Stable classes of vector space bundles in algebraic topology and relations to \(K\)-theory
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