Fundamental groups of commuting elements in Lie groups

DOI10.1112/blms/bdm094zbMath1145.55016arXivmath/0609375OpenAlexW2059558316WikidataQ115257413 ScholiaQ115257413MaRDI QIDQ5459249

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Publication date: 25 April 2008

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609375

zbMATH Keywords

Lie groupFundamental groupspace of group homomorphism

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Homotopy theory (55P99) General properties and structure of real Lie groups (22E15) Duality in algebraic topology (55M05)

Related Items (16)

Hilbert-Poincaré series for spaces of commuting elements in Lie groups ⋮ Commuting tuples in reductive groups and their maximal compact subgroups. ⋮ On the mod-\( \ell\) homology of the classifying space for commutativity ⋮ Poincaré series of character varieties for nilpotent groups ⋮ On spaces of commuting elements in Lie groups ⋮ Higher generation by abelian subgroups in Lie groups ⋮ Manifolds of Lie-group-valued cocycles and discrete cohomology ⋮ On the fundamental group of Hom\(({\mathbb Z}^k,G)\) ⋮ Differentiable stratified groupoids and a de Rham theorem for inertia spaces ⋮ A Survey on Spaces of Homomorphisms to Lie Groups ⋮ Nilpotent n-tuples in SU(2) ⋮ Cohomology of the space of commuting \(n\)-tuples in a compact Lie group ⋮ Commuting elements in central products of special unitary groups ⋮ Stable splittings, spaces of representations and almost commuting elements in Lie groups ⋮ Commutative cocycles and stable bundles over surfaces ⋮ Spaces of commuting elements in the classical groups

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