Mathematics – Algebraic Topology
Scientific paper
2009-05-18
Mathematics
Algebraic Topology
revised version to appear in Proc.Edinburgh Math. Soc. (Isle of Skye 2009 Conference Volume)
Scientific paper
In this paper the space of commuting elements in the central product $G_{m,p}$ of $m$ copies of the special unitary group $SU(p)$ is studied, where $p$ is a prime number. In particular, a computation for the number of path connected components of these spaces is given and the geometry of the moduli space $\Rep(\mathbb Z^n, G_{m,p})$ of flat principal $G_{m,p}$--bundles over the $n$--torus is completely described for all values of $n$, $m$ and $p$.
Adem Alejandro
Cohen Frederick R.
Gómez José Manuel
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