Can Infinite Multiplets Be Inferred from the Weak Decay Rates?

An algebraic model $\mathcal{B}$ describing symmetry breaking, which was considered in a previous paper for the mass spectrum problem, is applied to the weak decays $K_{l3\mathrm{}}$, $K_{l2\mathrm{}}$, ${\pi }_{l3\mathrm{}}$, and ${\pi }_{l2\mathrm{}}$. It gives constant form factors, $\xi =1\mathrm{}$, and a suppression of the strangeness-changing decays (Cabibbo angles) of $S_{l2\mathrm{}}=0.28\left(tan\theta _A^{}{}_{}{}^M\right)$ and $S_{l3\mathrm{}}=0.18\left(tan\theta _V^{}{}_{}{}^M\right)$. The results also allow the determination of all parameters that characterize the representation of $\mathcal{B}$ and its spectrum-generating group $\mathrm{SL}(3,c)\mathrm{}$, from which the infinite dimensionality of the multiplets can be inferred.