Johannes Grassberger ; Günther Hörmann - A note on representations of the finite Heisenberg group and sums of greatest common divisors

dmtcs:284 - Discrete Mathematics & Theoretical Computer Science, January 1, 2001, Vol. 4 no. 2 - https://doi.org/10.46298/dmtcs.284
A note on representations of the finite Heisenberg group and sums of greatest common divisorsArticle

Authors: Johannes Grassberger 1; Günther Hörmann 2

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.


Volume: Vol. 4 no. 2
Published on: January 1, 2001
Imported on: March 26, 2015
Keywords: Heisenberg group,representation of finite groups,sums of gcds,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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