A note on the signature representations of the symmetric groups

• Main Authors: Lim, Kay Jin, Wang, Jialin
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Schur Algebra; Modular Kostka Number
• Online Access: https://hdl.handle.net/10356/162420
• Institution: Nanyang Technological University

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...