Nilpotent n-tuples in SU(2)
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- Nilpotent n-tuples in SU(2)
Accepted author manuscript, 323 KB, PDF document
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.
Original language | English |
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Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 63 |
Issue number | 4 |
Pages (from-to) | 1005-1030 |
ISSN | 0013-0915 |
DOIs | |
Publication status | Published - 2020 |
- classifying spaces, nilpotent groups, spaces of representations
Research areas
ID: 257648886