Algebras and Representation Theory

, Volume 15, Issue 1, pp 29-51

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Representation Theory of Polyadic Groups

  • W. A. DudekAffiliated withInstitute of Mathematics and Computer Science, Wrocław University of Technology Email author 
  • , M. ShahryariAffiliated withDepartment of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz


In this article, we introduce the notion of representations of polyadic groups and we investigate the connection between these representations and those of retract groups and covering groups.


Polyadic groups Representations Retract of n-ary groups Covering groups

Mathematics Subject Classification (2010)