### Abstract

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

Original language | English |
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Article number | L09004 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2009 |

DOIs | |

Publication status | Published - Sep 2009 |

### Keywords

- math-ph
- hep-th
- math.MP
- nlin.SI

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## Cite this

Doikou, A., & Karaiskos, N. (2009). New reflection matrices for the U

_{q}(gl(m|n)) case.*Journal of Statistical Mechanics: Theory and Experiment*,*2009*, [L09004]. https://doi.org/10.1088/1742-5468/2009/09/L09004