Hamming graphs in Nomura Algebras

Details Hamming graphs in Nomura Algebras Hamming graphs in Nomura Algebras

2010-10-06

arxiv.org/abs/1010.1197v2

Mathematics

Combinatorics

15 pages, minor revision

Scientific paper

Let A be an association scheme on q\geq 3 vertices. We show that the
Bose-Mesner algebra of the generalized Hamming scheme H(n,A), for n\geq 2, is
not the Nomura algebra of a type II matrix. This result gives examples of
formally self-dual Bose-Mesner algebras that are not the Nomura algebras of
type II matrices.

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