The contractions of the irreducible representations of the unitary quantum algebra suq(2) and the orthogonal quantum algebra soq(3) in the Gel’fand–Tsetlin basis are regarded in detail with the help… Expand

We present a general formalism to investigate the integrable properties of a large class of non-ultralocal models which in principle allows the construction of the corresponding lattice versions. Our… Expand

We investigate the possible regular solutions of the boundary Yang-Baxter equation for the vertex models associated to the D (2) n+1 affine Lie algebra. We have classified them in terms of three… Expand

The unitary braiding operators describing topological entanglements can be viewed as universal quantum gates for quantum computation. With the help of the Brylinski’s theorem, the unitary solutions… Expand

We present the classification of the most general regular solutions to the boundary Yang-Baxter equations for vertex models associated with non-exceptional affine Lie algebras. Reduced solutions… Expand

It is fundamental to view unitary braiding operators describing topological entanglements as universal quantum gates for quantum computation. This paper derives a unitary solution of the quantum… Expand