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On the Multiplicities of Characters in Table Algebras

  Published:2014-01-18
 Printed: Jun 2014
  • J. Bagherian,
    Department of Mathematics , University of Isfahan , P.O. Box: 81746-73441, Isfahan, Iran
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Abstract

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 which is a cyclic group. As a main result we give some information about multiplicities of characters in table algebras.
Keywords: table algebra, faithful module, multiplicity of character table algebra, faithful module, multiplicity of character
MSC Classifications: 20C99, 16G30 show english descriptions None of the above, but in this section
Representations of orders, lattices, algebras over commutative rings [See also 16Hxx]
20C99 - None of the above, but in this section
16G30 - Representations of orders, lattices, algebras over commutative rings [See also 16Hxx]
 

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