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

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

2009-07-20

arxiv.org/abs/0907.3408v3

J.Stat.Mech.0909:L09004,2009

Physics

Mathematical Physics

13 pages, Latex. Minor modifications

Scientific paper

10.1088/1742-5468/2009/09/L09004

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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