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

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

2012-03-24

arxiv.org/abs/1203.5439v1

Mathematics

Algebraic Topology

Accepted for publication in the proceedings of the conference: Configuration spaces: Geometry, Combinatorics and Topology. Scu

Scientific paper

In this note we study topological invariants of the spaces of homomorphisms
Hom(\pi,G), where \pi\ 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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