Lefschetz invariants and Young characters for representations of the hyperoctahedral groups

DOI10.1016/J.JALGEBRA.2018.07.001zbMath1403.19001OpenAlexW2862245288MaRDI QIDQ1655792

Tomoyuki Yoshida, Fumihito Oda, Yugen Takegahara

Publication date: 10 August 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://muroran-it.repo.nii.ac.jp/?action=repository_action_common_download&item_id=9721&item_no=1&attribute_id=24&file_no=1

zbMATH Keywords

symmetric groupBurnside ringhyperoctahedral groupYoung subgroupcharacter ringLefschetz invariantparabolic subgroupsign character

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Frobenius induction, Burnside and representation rings (19A22) Symmetric groups (20B30) Subgroups of symmetric groups (20B35)

Cites Work

• The units of a partial Burnside ring relative to the Young subgroups of a symmetric group
• A decomposition of the descent algebra of a finite Coxeter group
• The generalized Burnside ring of a finite group
• On the unit groups of Burnside rings
• Permutation representations arising from simplicial complexes
• Representations of the hyperoctahedral groups
• Character theory of finite groups
• An induction theorem for the unit groups of Burnside rings of 2-groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lefschetz invariants and Young characters for representations of the hyperoctahedral groups