Unitary embeddings of finite loop spaces

DOI10.1515/forum-2015-0104zbMath1362.55011arXiv1310.2848OpenAlexW3098626553MaRDI QIDQ516941

Natàlia Castellana, José Maria Cantarero Lopez

Publication date: 15 March 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2848

zbMATH Keywords

\(p\)-compactfusion system\(p\)-local

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35)

Related Items

Uniqueness of factorization for fusion-invariant representations, Vector bundles over classifying spaces of p‐local finite groups and Benson–Carlson duality, Local Gorenstein duality for cochains on spaces, Stratification and duality for homotopical groups

Cites Work

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• The structure of \(p\)-local compact groups of rank 1
• An algebraic model for finite loop spaces
• Classifying spaces of Kač-Moody groups
• The Sullivan conjecture on maps from classifying spaces
• Discrete models for the \(p\)-local homotopy theory of compact Lie groups and \(p\)-compact groups
• Constructing modular classifying spaces
• A faithful unitary representation of the 2-compact group \(DI(4)\)
• Wreath products and representations of \(p\)-local finite groups.
• Transformation groups and algebraic \(K\)-theory
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Normalizers of maximal tori
• \(p\)-Stubborn subgroups of classical compact Lie groups
• Homotopy fixed-point methods for Lie groups and finite loop spaces
• Vector bundles over classifying spaces of compact Lie groups
• Cellular spaces, null spaces and homotopy localization
• The classification of \(p\)-compact groups for \(p\) odd
• Homology decompositions for \(p\)-compact groups
• Homotopy representations of \(\mathrm{SO}(7)\) and \(\mathrm{Spin}(7)\) at the prime 2
• A Bott map for non-stable homotopy of the unitary group
• Homotopy limits, completions and localizations
• The classification of 2-compact groups
• On the 𝑝-compact groups corresponding to the 𝑝-adic reflection groups 𝐺(𝑞,𝑟,𝑛)
• All 𝑝-local finite groups of rank two for odd prime 𝑝
• On the Realization of Invariant Subgroups of π ∗ (X)
• The homotopy theory of fusion systems
• N-determined p-compact groups
• On finite groups and homotopy theory
• Spaces with Noetherian cohomology
• Vector bundles over classifying spaces of p‐local finite groups and Benson–Carlson duality
• Applications of the transfer to stable homotopy theory
• Maps between classifying spaces