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Common properties of table algebras and association schemes
2008
Discrete Mathematics
The concept of table algebra in the title is a real nonsingular generalized table algebra in the sense of [Z. Arad, E. Fisman, M. Muzychuk, Generalized table algebras, Israel J. Math. 114 (1999) 29-60]. In this paper we first give some definitions and facts about table algebras. It is well known that every association scheme gives a Hecke-algebra which is a table algebra too. This leads to the natural question which properties of association schemes stay valid for table algebras. For instance,
doi:10.1016/j.disc.2007.08.014
fatcat:dhuop3ozmncezcczjpcdgbbvim