Algebras and Representation Theory

, Volume 15, Issue 1, pp 29–51

Representation Theory of Polyadic Groups

Open AccessArticle

DOI: 10.1007/s10468-010-9231-9

Cite this article as:
Dudek, W.A. & Shahryari, M. Algebr Represent Theor (2012) 15: 29. doi:10.1007/s10468-010-9231-9

Abstract

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.

Keywords

Polyadic groupsRepresentationsRetract of n-ary groupsCovering groups

Mathematics Subject Classification (2010)

20N15
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Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Institute of Mathematics and Computer ScienceWrocław University of TechnologyWrocławPoland
  2. 2.Department of Pure Mathematics, Faculty of Mathematical SciencesUniversity of TabrizTabrizIran