scholarly journals Vertices of simple modules of symmetric groups labelled by hook partitions

2015 ◽  
Vol 18 (2) ◽  
Author(s):  
Susanne Danz ◽  
Eugenio Giannelli
Keyword(s):  
Symmetric Groups ◽  
Prime Characteristic ◽  
Simple Modules

AbstractIn this article we study the vertices of simple modules for the symmetric groups in prime characteristic

scholarly journals Free Lie algebras as modules for symmetric groups

1999 ◽  
Vol 67 (2) ◽  
pp. 143-156 ◽  
Author(s):  
R. M. Bryant ◽  
L. G. Kovács ◽  
Ralph Stöhr
Keyword(s):  
Lie Algebras ◽  
Symmetric Groups ◽  
Free Lie Algebra ◽  
Prime Characteristic ◽  
Specht Modules ◽  
Generating Set ◽  
Direct Sum ◽  
Finite Dimensional ◽  
Free Lie Algebras ◽  
Direct Decompositions

AbstractLet r be a positive integer, F a field of odd prime characteristic p, and L the free Lie algebra of rank r over F. Consider L a module for the symmetric group , of all permutations of a free generating set of L. The homogeneous components Ln of L are finite dimensional submodules, and L is their direct sum. For p ≤ r ≤ 2p, the main results of this paper identify the non-porojective indecomposable direct summands of the Ln as Specht modules or dual Specht modules corresponding to certain partitions. For the case r = p, the multiplicities of these indecomposables in the direct decompositions of the Ln are also determined, as are the multiplicities of the projective indecomposables. (Corresponding results for p = 2 have been obtained elsewhere.)

The Vertices of a Class of Specht Modules and Simple Modules for Symmetric Groups in Characteristic 2

2012 ◽  
Vol 19 (spec01) ◽  
pp. 987-1016 ◽  
Author(s):  
Susanne Danz ◽  
Karin Erdmann
Keyword(s):  
Symmetric Groups ◽  
Specht Modules ◽  
Simple Modules ◽  
Characteristic 2

We study Specht modules S(n-2,2) and simple modules D(n-2,2) for symmetric groups 𝔖n of degree n over a field of characteristic 2. In particular, we determine the vertices of these modules, and also provide some information on their sources.

scholarly journals ON BASES OF SOME SIMPLE MODULES OF SYMMETRIC GROUPS AND HECKE ALGEBRAS

2017 ◽  
Vol 23 (3) ◽  
pp. 631-669 ◽  
Author(s):  
M. DE BOECK ◽  
A. EVSEEV ◽  
S. LYLE ◽  
L. SPEYER
Keyword(s):  
Hecke Algebras ◽  
Symmetric Groups ◽  
Simple Modules
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