Obstructions to Combinatorial Formulas for Plethysm

Electronic Journal Of Combinatorics

Thomas Kahle¹ 

关键词: Representation theory;    Plethysm;    Ehrhart quasi-polynomial;    Kronecker coefficients;    Lattice point counting;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

Motivated by questions of Mulmuley and Stanley we investigate quasi-polynomials arising in formulas for plethysm. We demonstrate, on the examples of $S^3(S^k)$ and $S^k(S^3)$, that these need not be counting functions of inhomogeneous polytopes of dimensi

【 授权许可】

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