Stable splittings, spaces of representations and almost commuting elements in Lie groups

DOI10.1017/S0305004110000277zbMath1208.22008arXiv1010.0735OpenAlexW3099975892WikidataQ115336016 ScholiaQ115336016MaRDI QIDQ3056310

Adem, Alejandro, Frederick R. Cohen, José Manuel Estebaranz Gómez

Publication date: 11 November 2010

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

Full work available at URL: https://arxiv.org/abs/1010.0735

zbMATH Keywords

Lie groupalmost commuting

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (max. 100)

The space of commuting \(n\)-tuples in \(SU(2)\) ⋮ Commuting tuples in reductive groups and their maximal compact subgroups. ⋮ Cosimplicial groups and spaces of homomorphisms ⋮ Poincaré series of character varieties for nilpotent groups ⋮ On spaces of commuting elements in Lie groups ⋮ Commuting elements in reductive groups and Higgs bundles on abelian varieties ⋮ Nilpotent n-tuples in SU(2) ⋮ The spectrum for commutative complex \(K\)-theory ⋮ Commuting elements in central products of special unitary groups ⋮ Spaces of commuting elements in the classical groups ⋮ On the moduli spaces of commuting elements in the projective unitary groups ⋮ Cohomology of toroidal orbifold quotients ⋮ Representation spaces for central extensions and almost commuting unitary matrices ⋮ Commuting elements, simplicial spaces and filtrations of classifying spaces ⋮ A classifying space for commutativity in Lie groups

Cites Work

• Quasifaserungen und unendliche symmetrische Produkte
• Compatible actions and cohomology of crystallographic groups.
• Topological components of spaces of representations
• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• On representations and \(K\)-theory of the braid groups.
• Commuting elements and spaces of homomorphisms
• A convenient category of topological spaces
• Cohomology operations, and obstructions to extending continuous functions
• Symmetric products of an algebraic curve
• EQUIVARIANT SEMI-ALGEBRAIC TRIANGULATIONS OF REAL ALGEBRAIC G-VARIETIES
• Fundamental groups of commuting elements in Lie groups

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