On the structure of spaces of commuting elements in compact Lie groups

2012/03/24 by Adem, Alejandro, Gómez, José Manuel
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.5439

Abstract

In this note we study topological invariants of the spaces of homomorphisms Hom(π,G), where π is a finitely generated abelian group and G is a compact Lie group arising as an arbitrary finite product of the classical groups SU(r), U(q) and Sp(k).

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• Commuting Elements and Spaces of Homomorphisms
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• Spaces of commuting elements in the classical groups