Homology of the double and the triple loop spaces of \(E_6\), \(E_7\) and \(E_8\)

DOI10.1007/PL00005854zbMath0961.55017MaRDI QIDQ1591398

Younggi Choi, Seonhee Yoon

Publication date: 28 May 2001

Published in: Manuscripta Mathematica (Search for Journal in Brave)

zbMATH Keywords

loop spacesEilenberg-Moore spectral sequenceexceptional Lie groupsmod \(p\) homologymoduli space of instantons

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Eilenberg-Moore spectral sequences (55T20) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Applications of Eilenberg-Moore spectral sequences (57T35)

Related Items (5)

Homology of the classifying space of \(\text{Sp}(n)\) gauge groups ⋮ Eilenberg-Moore spectral sequences converging to the homology of the four fold loop spaces of compact simple Lie groups ⋮ On the collapse of certain Eilenberg-Moore spectral sequences. ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Homology of iterated loop spaces of homogeneous spaces associated with exceptional Lie groups

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