Cosimplicial groups and spaces of homomorphisms

DOI10.2140/agt.2017.17.3519zbMath1383.55003arXiv1601.04688OpenAlexW3104193489MaRDI QIDQ2409983

Bernardo Villarreal

Publication date: 16 October 2017

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04688

zbMATH Keywords

spaces of representationscosimplicial groupsequivariant homotopy stable decompositionhomotopy stable decompositionspace of homomorphismstriangulation of semialgebraic sets

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Homotopy equivalences in algebraic topology (55P10) General properties and structure of real Lie groups (22E15) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (5)

Hilbert-Poincaré series for spaces of commuting elements in Lie groups ⋮ On the mod-\( \ell\) homology of the classifying space for commutativity ⋮ Poincaré series of character varieties for nilpotent groups ⋮ Nilpotent n-tuples in SU(2) ⋮ Classifying spaces for commutativity of low-dimensional Lie groups

Cites Work

• Infinite loop spaces and nilpotent K-theory
• A classifying space for commutativity in Lie groups
• Commuting elements and spaces of homomorphisms
• Stable splittings, spaces of representations and almost commuting elements in Lie groups
• Spaces of commuting elements in SU(2)
• Commuting elements, simplicial spaces and filtrations of classifying spaces
• EQUIVARIANT SEMI-ALGEBRAIC TRIANGULATIONS OF REAL ALGEBRAIC G-VARIETIES
• On spaces of commuting elements in Lie groups
• The classification of 𝐺-spaces
• Unnamed Item

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