Heisenberg group over the Gaussian integers - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-18T20:57:55Z http://mathoverflow.net/feeds/question/49495 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/49495/heisenberg-group-over-the-gaussian-integers Heisenberg group over the Gaussian integers Dr Shello 2010-12-15T08:01:03Z 2010-12-15T11:55:45Z <p>If we take the entries of the (standard $3 \times 3$) <em>Heisenberg group</em> to live in the Gaussian integers $\mathbb{Z}[i]$, what is the structure of this group? Are all of its representations known?</p> http://mathoverflow.net/questions/49495/heisenberg-group-over-the-gaussian-integers/49496#49496 Answer by Alex Bartel for Heisenberg group over the Gaussian integers Alex Bartel 2010-12-15T08:23:07Z 2010-12-15T08:38:54Z <p>A quick google search produced <a href="http://arxiv4.library.cornell.edu/abs/1005.2800?context=math.RT" rel="nofollow">this paper</a>. It gives generators and relations for the Heisenberg group over rings of integers of quadratic fields and discusses its representations.</p>