Lattice representations of Heisenberg groups

Details Lattice representations of Heisenberg groups Lattice representations of Heisenberg groups

2006-12-13

arxiv.org/abs/math/0612339v2

Math. Ann. 317 (2000), pp. 309-323

Mathematics

Representation Theory

16 pages, change of page height

Scientific paper

In this article, we prove that a lattice representation of the Heisenberg
group $H_{\mathbb R}^{(g,h)}$ associated to a lattice $L$ and a positive
definite symmetric half-integral matrix M of degree $h$ is unitarily equivalent
to the direct sum of $(det 2M)^g$ copies of the Schroedinger representation of
$H_{\mathbb R}^{(g,h)}$.

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