From Duffin-Kemmer-Petiau to Tzou algebras in relativistic wave equations

We study relation between the Duffin-Kemmer-Petiau algebras and some representations of Tzou algebras. Working in the setting of relativistic wave equations we reduce, via a similarity transformation, five and ten dimensional Duffin-Kemmer-Petiau algebras to three and seven dimensional Tzou algebras, respectively.