Finite dimensional irreducible representations of the quantum supergroup U,(gl (m/n)) at
both generic q and q being a root of unity are investigated systematically within the …

An integrable quantum group deformation of the supersymmetric t− J model is introduced.
Open-boundary conditions lead to an spl q (2, 1) invariant hamiltonian. A general procedure …

The theory of Lie bi-superalgebras and its connection with the graded classical Yang-Baxter
equation are studied. The classical double construction is developed in some detail in the …

The Reshetikhin-Turaev approach to topological invariants of three-manifolds is generalized
to quantum supergroups. A general method for constructing three-manifold invariant is …

Linear superalgebraic equations giving rise to solutions of the graded classical Yang-Baxter
equation are developed and solved explicitly. The connection of these equations with the …

The structure and representations of the quantum general linear supergroup GL q (m| n) are
studied systematically by investigating the Hopf superalgebra G q of its representative …

Two presentations of quantum affine superalgebras were introduced by Yamane in [On
defining relations of affine Lie superalgebras and affine quantized universal envelo** …

We present a systematic technique to construct solutions to the Yang-Baxter equation which
depend not only on a spectral parameter but in addition on further continuous parameters …

In this paper I construct lattice models with an underlying U q osp (2, 2) superalgebra
symmetry. I find new solutions to the graded Yang-Baxter equation. These trigonometric R …

A spectral parameter-dependent solution of the graded Yang-Baxter equation is obtained,
which is universal in the sense that it lives in U,(gl (m/n)) 8 End (V) with V the vector module …