Some irreducible specht modules

Author(s):  
G. D. James
Keyword(s):  



1995 ◽  
Vol 37 (3) ◽  
pp. 279-287 ◽  
Author(s):  
S. HalicioǦlu

Over fields of characteristic zero, there are well known constructions of the irreducible representations, due to A. Young, and of irreducible modules, called Specht modules, due to W. Specht, for the symmetric groups Sn which are based on elegant combinatorial concepts connected with Young tableaux etc. (see, e.g. [13]). James [12] extended these ideas to construct irreducible representations and modules over an arbitrary field. Al-Aamily, Morris and Peel [1] showed how this construction could be extended to cover the Weyl groups of type Bn. In [14] Morris described a possible extension of James' work for Weyl groups in general. Later, the present author and Morris [8] gave an alternative generalisation of James' work which is an extended improvement and extension of the original approach suggested by Morris. We now give a possible extension of James' work for finite reflection groups in general.



2005 ◽  
Vol 193 (2) ◽  
pp. 438-452 ◽  
Author(s):  
Matthew Fayers
Keyword(s):  
Type A ◽  


2003 ◽  
Vol 269 (2) ◽  
pp. 726-734 ◽  
Author(s):  
Sinéad Lyle


2006 ◽  
Vol 306 (1) ◽  
pp. 175-190 ◽  
Author(s):  
Matthew Fayers ◽  
Sinéad Lyle ◽  
Stuart Martin
Keyword(s):  


Author(s):  
Jonathan Brundan ◽  
Alexander Kleshchev ◽  
Weiqiang Wang
Keyword(s):  


1975 ◽  
Vol 36 (1) ◽  
pp. 88-97 ◽  
Author(s):  
M.H Peel


Author(s):  
R. M. Bryant ◽  
L. G. Kovács ◽  
Ralph Stöhr

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.)



2004 ◽  
Vol 275 (1) ◽  
pp. 106-142 ◽  
Author(s):  
Richard Dipper ◽  
Gordon James


1977 ◽  
Vol 46 (2) ◽  
pp. 457-461 ◽  
Author(s):  
G.D James
Keyword(s):  


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