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Fundamental Groups of Commuting Elements in Lie Groups

Enrique Torres-Giese·Denis Sjerve
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Abstract

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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Enrique Torres-Giese, Denis Sjerve. 2006-09-14. Fundamental Groups of Commuting Elements in Lie Groups. https://doi.org/10.1112/blms%2Fbdm094

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