Burnside-Brauer Theorem and Character Products in Table Algebras

Details Burnside-Brauer Theorem and Character Products in Table Algebras Burnside-Brauer Theorem and Character Products in Table Algebras

2008-10-29

arxiv.org/abs/0810.5305v4

Mathematics

Representation Theory

Scientific paper

In this paper, we first show that the irreducible characters of a quotient table algebra modulo a normal closed subset can be viewed as the irreducible characters of the table algebra itself. Furthermore, we define the character products for table algebras and give a condition in which the products of two characters are characters. Thereafter, as a main result we state and prove the Burnside-Brauer Theorem on finite groups for table algebras.

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