The odd primary $H$-structure of low rank Lie groups and its application to exponents

DOI10.1090/S0002-9947-07-04304-8zbMath1117.55005OpenAlexW2041212258WikidataQ115289076 ScholiaQ115289076MaRDI QIDQ3443142

Stephen D. Theriault

Publication date: 31 May 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04304-8

zbMATH Keywords

exponentLie group\(H\)-space, Whitehead product

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Homotopy groups of special spaces (55Q52) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items

The dual polyhedral product, cocategory and nilpotence ⋮ Homotopy of gauge groups over non-simply-connected five-dimensional manifolds ⋮ Homotopy exponents of Stiefel manifolds in the stable range ⋮ On the homotopy types of $\mathrm{Sp}(n)$ gauge groups ⋮ Relative homotopy abelian \(H\)-spaces ⋮ Modular representations and the homotopy of low rank \(p\)-local \(CW\)-complexes ⋮ Mod \(p\) decompositions of gauge groups ⋮ Odd primary homotopy types of the gauge groups of exceptional Lie groups ⋮ The uniqueness of homotopy associative, homotopy commutative multiplications on certain \(H\)-spaces ⋮ The odd primary order of the commutator on low rank Lie groups ⋮ Odd primary homotopy decompositions of gauge groups ⋮ \(p\)-primary homotopy decompositions of looped Stiefel manifolds and their exponents ⋮ Homotopy of gauge groups over high-dimensional manifolds

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