On the Multiplicities of Characters in Table Algebras
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 231-239
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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.
Mots-clés :
20C99, 16G30, table algebra, faithful module, multiplicity of character
Bagherian, J. On the Multiplicities of Characters in Table Algebras. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 231-239. doi: 10.4153/CMB-2013-045-0
@article{10_4153_CMB_2013_045_0,
author = {Bagherian, J.},
title = {On the {Multiplicities} of {Characters} in {Table} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {231--239},
year = {2014},
volume = {57},
number = {2},
doi = {10.4153/CMB-2013-045-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-045-0/}
}
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