S. Majid et M. Markl, GLUING OPERATION FOR R-MATRICES, QUANTUM GROUPS AND LINK-INVARIANTS OF HECKE TYPE, Mathematical proceedings of the Cambridge Philosophical Society, 119, 1996, pp. 139-166
We introduce an associative glueing operation +(q) on the space of sol
utions of the Quantum Yang-Baxter Equations of Hecke type. The corresp
onding glueing operations for the associated quantum groups and quantu
m vector spaces are also found. The former involves 2x2 quantum matric
es whose entries are themselves square or rectangular quantum matrices
. The corresponding glueing operation for link-invariants is introduce
d and involves a state-sum model with Boltzmann weights determined by
the link invariants to be glued. The standard su(n) solution, its asso
ciated quantum matrix group, quantum space and link-invariant arise at
once by repeated glueing of the one-dimensional case.