论文标题
分裂Kronecker广场，2分解数字，加泰罗尼亚组合和SAXL猜想
Splitting Kronecker squares, 2-decomposition numbers, Catalan Combinatorics, and the Saxl conjecture
论文作者
论文摘要
虽然最近在对称群体的角色的Kronecker产品的分解方面取得了一些进展，但Kronecker Squares的对称和交替部分的结果仍然很少。在这里，出现了新的结果（和猜想），这是对正方形的分裂，这有助于对Kronecker正方形的精致理解。此外，讨论了与2模数分解数，加泰罗尼亚组合的连接以及与SAXL猜想的连接，这进一步激励了对这些分裂的研究。
While there has been some progress on the decomposition of Kronecker products of characters of the symmetric groups in recent times, results on the symmetric and alternating part of Kronecker squares are still scarce. Here, new results (and conjectures) are presented on this splitting of the squares that contribute to a refined understanding of the Kronecker squares. Furthermore, connections to 2-modular decomposition numbers, Catalan combinatorics, and to the Saxl conjecture are discussed which further motivate the study of these splittings.
