Please use this identifier to cite or link to this item: https://doi.org/10.3842/SIGMA.2018.038
Title: Homomorphisms from specht modules to signed young permutation modules
Authors: Lim, KJ 
Tan, KM 
Keywords: math.RT
math.RT
20C30
Issue Date: 25-Apr-2018
Publisher: SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
Citation: Lim, KJ, Tan, KM (2018-04-25). Homomorphisms from specht modules to signed young permutation modules. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 14 : 21-. ScholarBank@NUS Repository. https://doi.org/10.3842/SIGMA.2018.038
Abstract: © 2018, Institute of Mathematics. All rights reserved. We construct a class ΘR of homomorphisms from a Specht module (formula presented) 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 ∈ Homℤϭn (formula presented) lies in the -span of Θsstd, a subset of ΘR corresponding to semistandard λ-tableaux of type (α|β). We also study the conditions for which (formula presented) - a subset of HomFϭn (formula presented) induced by Θsstd - is linearly independent, and show that it is a basis for HomFϭn (formula presented) when Fϭn is semisimple.
Source Title: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
URI: https://scholarbank.nus.edu.sg/handle/10635/155269
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2018.038
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