On some applications of unstable Adams operations to the topology of Kac-Moody groups

DOI10.1090/proc/13269zbMath1359.55011arXiv1301.0056OpenAlexW2963239045MaRDI QIDQ5298214

Nitu Kitchloo

Publication date: 14 December 2016

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

Full work available at URL: https://arxiv.org/abs/1301.0056

zbMATH Keywords

Kac-Moody groupsunstable Adams operationsBousfield-Kan spectral sequence

Mathematics Subject Classification ID

Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Kac-Moody groups (20G44)

Related Items (2)

Computation of the cohomology rings of Kac-Moody groups, their flag manifolds and classifying spaces ⋮ Recognizing nullhomotopic maps into the classifying space of a Kac-Moody group

Cites Work

• Discrete approximations for complex Kac-Moody groups
• Uniqueness and presentation of Kac-Moody groups over fields
• Classifying spaces of Kač-Moody groups
• Cohomology of classifying spaces of complex Lie groups and related discrete groups
• Universal moduli spaces of surfaces with flat bundles and cobordism theory
• The image of H*(BG,Z) in H*(BT,Z) for G a compact Lie group with maximal torus T
• Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
• Kac-Moody groups, their flag varieties and representation theory
• On the topology of Kac-Moody groups
• Homotopy limits, completions and localizations
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