论文标题
在降低的Kronecker系数上的猜想
Conjectures on the reduced Kronecker coefficients
论文作者
论文摘要
我们在对称组的不可还原表示的稳定张量产物上制定了一系列猜想，这与降低的kronecker系数密切相关。这些猜想是Okounkov对Littlewood-Richardson系数和Lam-Postnikov-Pylyavskyy的Schur log-conconcovity定理的某些概括。在某些特殊情况下，我们证明了我们的猜想，并讨论了这些猜想的某些含义。
We formulate a series of conjectures on the stable tensor product of irreducible representations of symmetric groups, which are closely related to the reduced Kronecker coefficients. These conjectures are certain generalizations of Okounkov's conjecture on the log-concavity of the Littlewood--Richardson coefficients and the Schur log-concavity theorem of Lam--Postnikov--Pylyavskyy. We prove our conjectures in some special cases and discuss some implications of these conjectures.
