Title
Common properties of table algebras and association schemes
Abstract
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, we prove the Second Isomorphism Theorem and the Jordan-Holder's theorem for standard table algebras.
Year
DOI
Venue
2008
10.1016/j.disc.2007.08.014
Discrete Mathematics
Keywords
Field
DocType
gt-algebra,closed subset,structure constant,standard basis,quotient algebra,association scheme
Quotient algebra,Discrete mathematics,Combinatorics,Association scheme,Algebra,Quadratic algebra,Division algebra,Non-associative algebra,Isomorphism theorem,Jordan algebra,Mathematics,Algebra representation
Journal
Volume
Issue
ISSN
308
14
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Amir Rahnamai Barghi192.79