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On the Multiplicities of Characters in Table Algebras

Published online by Cambridge University Press:  20 November 2018

J. Bagherian
J. Bagherian*
Affiliation:
Department of Mathematics, University of Isfahan, P.O. Box 81746-73441, Isfahan, Iran e-mail: bagherian@sci.ui.ac.ir
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Abstract

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In this paper we show that every module of a table algebra can be considered as a faithful module of some quotient table algebra. Also we prove that every faithful module of a table algebra determines a closed subset that is a cyclic group. As a main result we give some information about multiplicities of characters in table algebras.

Keywords

20C9916G30table algebrafaithful modulemultiplicity of character
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 2 , 14 June 2014 , pp. 231 - 239
Copyright
Copyright © Canadian Mathematical Society 2014

Footnotes

This research was partially supported by the Center of Excellence for Mathematics, University of Isfahan.

References

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