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arXiv · 0905.2895

Commuting elements in central products of special unitary groups

Alejandro Adem·Frederick R. Cohen·Jose Manuel Gomez
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Abstract

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 $p$.

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Alejandro Adem, Frederick R. Cohen, Jose Manuel Gomez. 2010-10-04. Commuting elements in central products of special unitary groups. https://arxiv.org/abs/0905.2895

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