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

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

13 pages, Latex. A few alterations regarding the representations. A reference added

References in corpus (4)

• Spectrum of the supersymmetric t-J model with non-diagonal open boundaries
• Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions
• $A_n^{(1)}$ affine Toda field theories with integrable boundary conditions revisited
• On boundary super algebras

Cited by in corpus (3)

• On boundary super algebras
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• Reflection algebras for sl(2) and gl(1|1)