Commuting elements in central products of special unitary groups

2009/05/18 by Adem, Alejandro, Cohen, Frederick R., Gomez, Jose Manuel
#Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0905.2895

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 Zⁿ, 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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