Abstract | ||
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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 |
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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 |
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Amir Rahnamai Barghi | 1 | 9 | 2.79 |