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We put forward one of the forms of functional pentagon equation (FPE), knownfrom the theory of integrable models, as an algebraic explanation to thephenomenon known in physics as s<->t duality. We present two simple geometricalexamples of FPE solutions, one of them yielding in a particular case thewell-known Veneziano expression for 4-particle amplitude. Finally, we interpretour solutions of FPE in terms of relations in Lie groups.Comment: LaTeX, 12 pages, 6 eps figure

Finite-dimensional analogues of the strings↔t duality and the pentagon equation