Homomorphisms from Specht Modules to Signed Young Permutation Modules

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Lim, K.J., Tan, K.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209534
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Homomorphisms from Specht Modules to Signed Young Permutation Modules / K.J. Lim, K.M. Tan // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 14 назв. — англ.

We construct a class ΘR of homomorphisms from a Specht module SλZ to a signed permutation module MZ(α|β), which generalises James's construction of homomorphisms whose codomain is a Young permutation module. We show that any ϕ ∈ HomZSn(SλZ, MZ(α|β)) lies in the Q-span of Θsstd, a subset of ΘR c...