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We examine super symmetric representations of the B-type Hecke algebra. Weexploit such representations to obtain new non-diagonal solutions of thereflection equation associated to the super algebra U_q(gl(m|n)). The boundarysuper algebra is briefly discussed and it is shown to be central to the supersymmetric realization of the B-type Hecke algebra

New reflection matrices for the U_q(gl(m|n)) case