LETTER

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

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Published 28 September 2009 IOP Publishing Ltd
, , Citation Anastasia Doikou and Nikos Karaiskos J. Stat. Mech. (2009) L09004 DOI 10.1088/1742-5468/2009/09/L09004

1742-5468/2009/09/L09004

Abstract

We examine supersymmetric representations of the B-type Hecke algebra. We exploit such representations to obtain new non-diagonal solutions of the reflection equation associated with the super algebra Uq(gl(m|n)). The boundary super algebra is briefly discussed and it is shown to be central to the supersymmetric realization of the B-type Hecke algebra.

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