We introduce two subalgebras in the type A quantum affine algebra which are coideals with respect to the Hopf algebra structure. In the classical limit q â†’ 1 each subalgebra specializes to theâ€¦ (More)

We construct a universal trigonometric solution of the Gervais{Neveu{Felder equation in the case of nite dimensional simple Lie algebras and nite dimensional contragredient simple Lie superalgebras.

We investigate factorized scattering from a reflecting and transmitting impurity. Bulk scattering is non trivial, provided that the bulk scattering matrix depends separately on the spectralâ€¦ (More)

We give a RTT presentation of (super)-Yangians Y (g) for g = so(n), sp(2n) and osp(m|2n). MSC number: 81R50, 17B37 LAPTH-878/01 PAR-LPTHE 01-70 math.QA/0111325 November 2001

We establish a family of pointâ€“like impurities which preserve the quantum integrability of the nonâ€“linear SchrÃ¶dinger model in 1+1 spaceâ€“time dimensions. We briefly describe the construction of theâ€¦ (More)

We consider the N -site Uq(gl(N )) integrable spin chain with periodic and open diagonal soliton-preserving boundary conditions. By employing analytical Bethe ansatz techniques we are able toâ€¦ (More)

Inspired by factorized scattering from deltaâ€“type impurities in (1+1)-dimensional space-time, we propose and analyse a generalization of the Zamolodchikovâ€“Faddeev algebra. Distinguished elements ofâ€¦ (More)

We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parametersâ€¦ (More)

We describe an algebraic framework for studying the symmetry properties of integrable quantum systems on the half line. The approach is based on the introduction of boundary operators. It turns outâ€¦ (More)

We construct XXand Hubbardlike models based on unitary superalgebras gl(N |M) generalising Shastryâ€™s and Maassaraniâ€™s approach of the algebraic case. We introduce the R-matrix of the gl(N |M) XXâ€¦ (More)