由两个两行形状索引的Kronecker系数的拟多项式公式（扩展摘要）
Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract)
摘要：
我们证明了由两个两行形状索引的Kronecker系数（对称群的Clebsch-Gordan系数）是由二次拟多项式公式给出的，其域是扇形的最大胞元.简单的计算明确地提供了准多项式公式和相关风扇的描述。这些新公式是由相应的约化Kronecker系数的类似公式和由约化Kronecker系数恢复Kronecker系数的公式得到的。作为一个应用，我们描述了所有的克罗内克系数索引的两个两行的形状，等于零。这使我们能够反驳一个猜想Mulmuley的行为的拉伸功能重视克罗内克系数。
英文摘要：
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 domains are the maximal cells of a fan. Simple calculations provide explicitly the quasipolynomial formulas and a description of the associated fan. These new formulas are obtained from analogous formulas for the corresponding reduced Kronecker coefficients and a formula recovering the Kronecker coefficients from the reduced Kronecker coefficients. As an application, we characterize all the Kronecker coefficients indexed by two two-row shapes that are equal to zero. This allowed us to disprove a conjecture of Mulmuley about the behavior of the stretching functions attached to the Kronecker coefficients.
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