A note on cellular algebras

The term "cellular algebra" was introduced by B. Yu. Weisfeiler and A. A. Leman in the paper "Reduction of a graph to a canonical form and an algebra which appears in this process", in Scientific-Technical Investigations Ser. 2, 9 (1968), 12-16 (in Russian).

Recently, J. J. Graham and G. I. Lehrer have used the same term in a different sense in their paper "Cellular algebras", in Invent. Math. 123 (1996), 1-34.

Readers should be aware of the possibility of confusion.

Further historical notes can be found here or in R. A. Bailey's forthcoming book on association schemes.

Permutation groups page

Peter J. Cameron
3 October 2001.