On the moduli spaces of commuting elements in the projective unitary groups

DOI10.1063/1.5097922zbMath1491.20023arXiv1903.03749OpenAlexW3103481386WikidataQ127492597 ScholiaQ127492597MaRDI QIDQ5228052

Man Chuen Cheng, Adem, Alejandro

Publication date: 8 August 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03749

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Unitary representations of locally compact groups (22D10) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Projective representations and multipliers (20C25) Fine and coarse moduli spaces (14D22)

Cites Work

• Sous-groupes commutatifs et torsion des groupes de Lie compacts connexes
• Rational central simple algebras
• The topology of nilpotent representations in reductive groups and their maximal compact subgroups.
• Commuting elements and spaces of homomorphisms
• Representation spaces for central extensions and almost commuting unitary matrices
• Stable splittings, spaces of representations and almost commuting elements in Lie groups
• The Classification of Principal PU_n -Bundles over a 4-Complex
• Almost commuting elements in compact Lie groups
• Commuting elements in central products of special unitary groups

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