A note on representations of the finite Heisenberg group and sums of greatest common divisors - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Discrete Mathematics and Theoretical Computer Science Year : 2001

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

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.
Fichier principal
Vignette du fichier
dm040202.pdf (66.1 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00958949 , version 1 (13-03-2014)

Identifiers

Cite

Johannes Grassberger, Günther Hörmann. A note on representations of the finite Heisenberg group and sums of greatest common divisors. Discrete Mathematics and Theoretical Computer Science, 2001, Vol. 4 no. 2 (2), pp.91-100. ⟨10.46298/dmtcs.284⟩. ⟨hal-00958949⟩

Collections

TDS-MACS
169 View
2243 Download

Altmetric

Share

Gmail Facebook X LinkedIn More