Higher dimensional multiparameter unitary and nonunitary braid matrices: Even dimensions

A class of ( 2 n ) 2 × ( 2 n ) 2 multiparameter braid matrices are presented for all n ( n ⩾ 1 ) . Apart from the spectral parameter θ , they depend on 2 n 2 free parameters m i j ( ± ) , i , j = 1 , … , n . For real parameters, the matrices R ( θ ) are nonunitary. For purely imaginary parameters, they became unitary. Thus, a unification is achieved with odd dimensional multiparameter solutions presented before.