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Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract)
Emmanuel Briand, Rosa Orellana, Mercedes Rosas
We show that the Kronecker coefficients (the Clebsch-Gordan coefficients of the symmetric group) indexed by two two-row shapes are given by quadratic quasipolynomial formulas whose…
Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH
Emmanuel Briand, Rosa Orellana, Mercedes Rosas
We provide counter-examples to Mulmuley's strong saturation conjecture (strong SH) for the Kronecker coefficients. This conjecture was proposed in the setting of Geometric Complexi…
The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman
Riccardo Biagioli, Sara Faridi, Mercedes Rosas
Tanisaki introduced generating sets for the defining ideals of the schematic intersections of the closure of conjugacy classes of nilpotent matrices with the set of diagonal matric…