New reflection matrices for the U_q(gl(m|n)) case
classification
🧮 math-ph
hep-thmath.MPnlin.SI
keywords
algebrasuperb-typeheckereflectionrepresentationssymmetricassociated
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We examine super symmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated to the super algebra U_q(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the super symmetric realization of the B-type Hecke algebra
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