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Group Theory and Its Connections to Representation Theory Abstracts a Geometric Approach to the Kronecker Coefficients

We show that the Kronecker coefficients indexed by two two-row shapes are given by quadratic quasipolynomial formulas whose domains are the maximal cells of a fan. Simple calculations provide explicitly the quasipolynomial formulas and a description of the associated fan. As an application, we characterize all the Kronecker coefficients indexed by two two-row shapes that are equal to zero. Joint work with E. Briand and M. Rosas