On signed Young permutation modules and signed p-Kostka numbers

• Main Authors: Giannelli, Eugenio, Lim, Kay Jin, O’Donovan, William, Wildon, Mark
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2018
• Subjects: Permutation; Young Modules; DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/88467; http://hdl.handle.net/10220/45793
• Institution: Nanyang Technological University

We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for the signed p-Kostka numbers, defined to be the multiplicities of signed Youn...