A note on the signature representations of the symmetric groups

• Main Authors: Lim, Kay Jin, Wang, Jialin
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2022
• 主題: Science::Mathematics; Schur Algebra; Modular Kostka Number
• 在線閱讀: https://hdl.handle.net/10356/162420

For a partition λ and a prime p, we prove a necessary and sufficient condition for there to exist a composition δ such that δ can be obtained from λ after rearrangement and no partial sums of δ are divisible by p. To demonstrate why we are interested in the question, we compute some signed p-Kostka...