A note on the signature representations of the symmetric groups

• المؤلفون الرئيسيون: Lim, Kay Jin, Wang, Jialin
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Schur Algebra; Modular Kostka Number
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/162420
• المؤسسة: 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...