Nilpotent n-tuples in SU(2)
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- Nilpotent n-tuples in SU(2)
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We describe the connected components of the space of homomorphisms for a discrete nilpotent group. The connected components arising from homomorphisms with non-abelian image turn out to be homeomorphic to. We give explicit calculations when is a finitely generated free nilpotent group. In the second part of the paper, we study the filtration of the classifying space (introduced by Adem, Cohen and Torres-Giese), showing that for every, the inclusions induce a homology isomorphism with coefficients over a ring in which 2 is invertible. Most of the computations are done for and as well.
Originalsprog | Engelsk |
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Tidsskrift | Proceedings of the Edinburgh Mathematical Society |
Vol/bind | 63 |
Udgave nummer | 4 |
Sider (fra-til) | 1005-1030 |
ISSN | 0013-0915 |
DOI | |
Status | Udgivet - 2020 |
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