LAUSR

Hypergroup is the generalized concept of group introduced first by Marty. Since then, the study of it and its applications has been of great importance. This paper deals with representations of the hypergroup associated to the braid group [Formula: see text]. First, we define our hypergroup [Formula: see text] and our semihyperring [Formula: see text] over the set of non-negative integers. Next, we construct non-trivial matrix representations of [Formula: see text] of degree [Formula: see text], for all [Formula: see text]. Finally, we find all matrix representations of [Formula: see text] with degree less than [Formula: see text] and classify them according to irreducibility and unitarizability.