Экспоненциирование кубических массивов чисел (трехиндексных тензоров) и симплициальные римановы поверхности

We define exponent of cubic massives of numbers. The role of unity matrix in this case is played by cubic matrix whose elements are structure constants of associative semi-simple algebra. Hence, the coefficients of the Taylor expansion of this new “surface” exponent in powers of the cubic massive are related to the two dimensional simplicial topological invariants. Accordingly all the possible exponents are classified by two dimensional topologies. We discuss the application of this “surface” exponent to the alternative definition of 2D quantum field theory and to the construction of the solutions of the Yang-Baxter equation.