Abstract
An attempt is made to generalize a result of Vilenkin that the beta function (being adopted as Veneziano formula for four‐particle processes) appears as the kernel (in the integral) of the irreducible representation (in the Mellin‐transformed space) of the group of 2 × 2 unimodular triangular matrices. It is shown that with a modified multiplier in the Gel'fand‐Naimark prescription for the representation of the group of (n + 1) × (n + 1) unimodular triangular matrices, the (tree‐graph) generalized Veneziano amplitude for (n + 3)‐particle processes is recovered by a limiting procedure.
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