Solutions of the reflection equation for the Uq[G2]Uq[G2] vertex model

We investigate the possible regular solutions of the boundary Yang–Baxter equation for the fundamental Uq[G2]Uq[G2] vertex model. We find four distinct classes of reflection matrices such that half of them are diagonal while the other half are non-diagonal. The latter are parameterized by two continuous parameters but only one solution has all entries non-null. The non-diagonal solutions do not reduce to diagonal ones at any special limit of the free-parameters.