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commuting elements

Proceedings of the Edinburgh Mathematical Society (1)

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Commuting elements in central products of special unitary groups
Part of
- Linear algebraic groups and related topics
- Fiber spaces and bundles
Alejandro Adem, F. R. Cohen, José Manuel Gómez
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 1 / February 2013

Published online by Cambridge University Press:

24 October 2012, pp. 1-12
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We study the space of commuting elements in the central product Gm,p of m copies of the special unitary group SU(p), 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(ℤn, Gm,p) of isomorphism classes of flat connections on principal Gm,p-bundles over the n-torus is completely described for all values of n, m and p.