Irreducible representations of wedge products of table algebras and applications to association schemes
arXiv:1509.06046
Abstract
In this paper we first determine all irreducible representations of a wedge product of two table algebras in terms of the irreducible representations of two factors involved. Then we give some necessary and sufficient conditions for a table algebra to be a wedge product of two table algebras. Some applications to association schemes are also given.
arXiv commentThis paper has been withdrawn by the author. Later, Blau refers to this construction as the partial wreath product of table algebras. Blau even studied the partial wreath products in a more general context of C-algebras, and characterizes this product via irreducible characters. Blau presented his results at an AMS sectional meeting