Fundamental Groups of Commuting Elements in Lie Groups

Details Fundamental Groups of Commuting Elements in Lie Groups Fundamental Groups of Commuting Elements in Lie Groups

2006-09-14

arxiv.org/abs/math/0609375v1

Mathematics

Algebraic Topology

Scientific paper

We compute the fundamental group of the spaces of ordered commuting
$n$-tuples of elements in the Lie groups SU(2), U(2) and SO(3). For SO(3) the
computation of the mod-2 cohomology of the components of these spaces is also
obtained.

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