JILIN UNIV,DEPT PHYS,JILIN 130021,PEOPLES R CHINA
; INST HIGH ENERGY PHYS,BEIJING 100039,PEOPLES R CHINA
; CHINA CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
The irreducible representations of the braid groups, described by the Young patterns, are obtained in terms of a set of commutant operators. The relations between our representations and the monodromy representations based on the minimal representation of the quantum enveloping algebra U(q)sl(2) are discussed briefly.