A note on representations of the finite Heisenberggroup and sums of greatest common divisors

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...

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Bibliographic Details
Main Authors: Johannes Grassberger, Günther Hörmann
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2001-12-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/138