On spaces of commuting elements in Lie groups

DOI10.1017/S0305004116000311zbMath1371.55012arXiv1402.6309WikidataQ115336000 ScholiaQ115336000MaRDI QIDQ5360413

Mentor Stafa, Frederick R. Cohen

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1402.6309

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Semisimple Lie groups and their representations (22E46)

Related Items

Hilbert-Poincaré series for spaces of commuting elements in Lie groups ⋮ Cohomology of the spaces of commuting elements in Lie groups of rank two ⋮ Cosimplicial groups and spaces of homomorphisms ⋮ Poincaré series of character varieties for nilpotent groups ⋮ A Survey on Spaces of Homomorphisms to Lie Groups ⋮ Spaces of commuting elements in the classical groups

Cites Work

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• The space of commuting \(n\)-tuples in \(SU(2)\)
• Commuting tuples in reductive groups and their maximal compact subgroups.
• On the fundamental group of Hom\(({\mathbb Z}^k,G)\)
• Homotopy colimits of classifying spaces of abelian subgroups of a finite group
• The Chabauty space of closed subgroups of the three-dimensional Heisenberg group
• Topological components of spaces of representations
• Toroidal compactification without vector structure
• A classifying space for commutativity in Lie groups
• The topology of nilpotent representations in reductive groups and their maximal compact subgroups.
• Covering spaces of character varieties
• Commuting elements and spaces of homomorphisms
• Cohomology of the space of commuting \(n\)-tuples in a compact Lie group
• Reduced product spaces
• Introduction to complex reflection groups and their braid groups.
• Equivariant K -theory of compact Lie group actions with maximal rank isotropy
• Stable splittings, spaces of representations and almost commuting elements in Lie groups
• Commuting elements, simplicial spaces and filtrations of classifying spaces
• Generalized splitting theorems
• Almost commuting elements in compact Lie groups
• Commuting elements in central products of special unitary groups
• On the structure of spaces of commuting elements in compact Lie groups
• Fundamental groups of commuting elements in Lie groups
• ON TORSION IN LIE GROUPS