Fundamental Groups of Commuting Elements in Lie Groups
classification
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keywords
groupscommutingelementsfundamentalspacescohomologycomponentscomputation
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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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