Baxterization of GL_q(2) and its application to the Liouville model and some other models on a lattice

Understand

We develop the Baxterization approach to (an extension of) the quantum group GL_q(2).

• We introduce two matrices which play the role of spectral parameter dependent L-matrices and observe that they are naturally related to two different comultiplications.
• Using these comultiplication structures, we find the related fundamental R-operators in terms of powers of coproducts and also give their equivalent forms in terms of quantum dilogarithms.
• The corresponding quantum local Hamiltonians are given in terms of logarithms of positive operators.