The integral Pontrjagin homology of the based loop space on a flag manifold

zbMath1218.57015arXivmath/0702113MaRDI QIDQ987167

Svjetlana Terzić, Jelena Grbic

Publication date: 13 August 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702113

zbMATH Keywords

rational homotopy theoryflag manifoldsloop spacecompact Lie groupsPontrjagin ring

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) Homotopy groups of topological groups and homogeneous spaces (57T20) Applications of Eilenberg-Moore spectral sequences (57T35)

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Cites Work

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• The space of loops on a Lie group
• The homology of the loop space of the exceptional group \(F_4\)
• The space of loops on the exceptional Lie group \(E_6\)
• The integral cohomology ring of \(F_4/T\) and \(E_6/T\)
• On the structure of Hopf algebras
• The product of the generators of a finite group generated by reflections
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Applications of the Theory of Morse to Symmetric Spaces
• Basic sets of invariant polynomials for finite reflection groups
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Cohomology of Ω(G/U)
• THE COHOMOLOGY RING OF G/T