Commuting elements in central products of special unitary groups

DOI10.1017/S0013091512000144zbMath1270.55013arXiv0905.2895OpenAlexW2964340330MaRDI QIDQ4911198

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

Publication date: 14 March 2013

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

Full work available at URL: https://arxiv.org/abs/0905.2895

zbMATH Keywords

Lie groupsmoduli spacecommuting elementspath components

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items

Dynamics on nilpotent character varieties ⋮ Commuting tuples in reductive groups and their maximal compact subgroups. ⋮ On spaces of commuting elements in Lie groups ⋮ On the fundamental group of Hom\(({\mathbb Z}^k,G)\) ⋮ Counting conjugacy classes of elements of finite order in Lie groups ⋮ Nilpotent n-tuples in SU(2) ⋮ Topology of character varieties of abelian groups ⋮ On the moduli spaces of commuting elements in the projective unitary groups ⋮ Representation spaces for central extensions and almost commuting unitary matrices ⋮ Strong subgroup commutativity degree and some recent problems on the commuting probabilities of elements and subgroups

Cites Work

• Commuting elements and spaces of homomorphisms
• Cohomology of the space of commuting \(n\)-tuples in a compact Lie group
• Stable splittings, spaces of representations and almost commuting elements in Lie groups
• Almost commuting elements in compact Lie groups
• Fundamental groups of commuting elements in Lie groups

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