Discrete Mathematics & Theoretical Computer Science, Vol 4, No 2 (2001)

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DMTCS vol 4 no 2 (2001), pp. 91-100

Discrete Mathematics & Theoretical Computer Science


Volume 4 n° 2 (2001), pp. 91-100

author:Johannes Grassberger and Gnther Hrmann
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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