The higher-spin algebra is defined as the algebra of all even functions f ( Y ^ ^ ) , f ( Y ^ ^ ) = f ( − − Y ^ ^ ) in Y ^ ^ A . That the functions are even is in accordance with the bosonic content of the higher-spin theory as Y ^ ^ A will be shown to be related to the Majorana spinors from the space-time point of view and even powers of Y ^ ^ A correspond to tensors. It is an associative algebra and the product is conveniently realised by the Moyal star product :