Commuting tuples in reductive groups and their maximal compact subgroups.

DOI10.2140/gt.2013.17.2513zbMath1306.55007OpenAlexW1986061087MaRDI QIDQ371277

Alexandra Pettet, Juan Souto

Publication date: 1 October 2013

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

Full work available at URL: https://doi.org/10.2140/gt.2013.17.2513

zbMATH Keywords

homotopy equivalencesrepresentations of Abelian groups in Lie groups

Mathematics Subject Classification ID

Homotopy theory (55P99) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (14)

Hilbert-Poincaré series for spaces of commuting elements in Lie groups ⋮ On spaces of commuting elements in Lie groups ⋮ Flawed groups and the topology of character varieties ⋮ Higher generation by abelian subgroups in Lie groups ⋮ On the fundamental group of Hom\(({\mathbb Z}^k,G)\) ⋮ A Survey on Spaces of Homomorphisms to Lie Groups ⋮ Fundamental groups of character varieties: surfaces and tori ⋮ Topology of character varieties of abelian groups ⋮ Character varieties of virtually nilpotent Kähler groups and \(G\)-Higgs bundles ⋮ Spaces of commuting elements in the classical groups ⋮ Classifying spaces for commutativity of low-dimensional Lie groups ⋮ The topology of Baumslag–Solitar representations ⋮ A classifying space for commutativity in Lie groups ⋮ The topology of nilpotent representations in reductive groups and their maximal compact subgroups.

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