The topology of nilpotent representations in reductive groups and their maximal compact subgroups.

DOI10.2140/gt.2015.19.1383zbMath1346.20063arXiv1310.5109OpenAlexW1875420625MaRDI QIDQ2346439

Maxime Bergeron

Publication date: 2 June 2015

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

Full work available at URL: https://arxiv.org/abs/1310.5109

zbMATH Keywords

geometric invariant theorynilpotent groupsrepresentation varietiescharacter varietiesreal algebraic groupsmaximal compact subgroupsstrong deformation retractionsKempf-Ness theorycomplex algebraic groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) 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 ⋮ Random quantum graphs ⋮ Poincaré series of character varieties for nilpotent groups ⋮ Geometry of \(\mathrm{SU}(3)\)-character varieties of torus knots ⋮ On spaces of commuting elements in Lie groups ⋮ Flawed groups and the topology of character varieties ⋮ A Survey on Spaces of Homomorphisms to Lie Groups ⋮ Nilpotent n-tuples in SU(2) ⋮ The homotopy groups of a homotopy group completion ⋮ Character varieties of virtually nilpotent Kähler groups and \(G\)-Higgs bundles ⋮ On the moduli spaces of commuting elements in the projective unitary groups ⋮ Representation spaces for central extensions and almost commuting unitary matrices ⋮ The topology of Baumslag–Solitar representations ⋮ Character varieties for real forms

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