Nomura algebras of nonsymmetric Hadamard models

TL;DR

This paper demonstrates that the Nomura algebra associated with nonsymmetric Hadamard models is equivalent to the Bose-Mesner algebra of the directed Hadamard graph, linking algebraic and combinatorial structures.

Contribution

It establishes an explicit correspondence between Nomura algebras of nonsymmetric Hadamard models and Bose-Mesner algebras of directed Hadamard graphs, revealing their structural equivalence.

Findings

Nomura algebra equals Bose-Mesner algebra in this context

Identifies algebraic-combinatorial correspondence

Provides new insights into Hadamard models and graphs

Abstract

We show that the Nomura algebra of the nonsymmetric Hadamard model coincides with the Bose-Mesner algebra of the directed Hadamard graph.