# Discrete Mathematics & Theoretical Computer Science

## Volume 4 n° 2 (2001), pp. 91-100

author: | Johannes Grassberger and Gnther Hrmann |
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title: | A note on representations of the finite Heisenberg group and sums of greatest common divisors |

keywords: | Heisenberg group, representation of finite groups, sums of gcds |

abstract: | We review an elementary approach to the construction of all irreducible representations of the finite Heisenberg group. Determining the number of inequivalent classes of irreducible representations by different methods leads to an identity of sums involving greatest common divisors. We show how this identity can be generalized and derive an explicit formula for the sums. |

reference: | Johannes Grassberger and Gnther Hrmann (2001),
A note on representations of the finite Heisenberg group and sums of greatest common divisors,
Discrete Mathematics and Theoretical Computer Science 4, pp. 91-100 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Tue Oct 30 12:57:30 CET 2001 by gustedt