Some irreducible specht modules

1978 ◽  
pp. 89-97
Author(s):  
G. D. James
Keyword(s):  
Specht Modules

The Specht modules

2002 ◽  
pp. 37-41
Author(s):  
David Goldschmidt
Keyword(s):  
Specht Modules

scholarly journals Specht modules for finite reflection groups

1995 ◽  
Vol 37 (3) ◽  
pp. 279-287 ◽  
Author(s):  
S. HalicioǦlu
Keyword(s):  
Present Author ◽  
Symmetric Groups ◽  
Irreducible Representations ◽  
Weyl Groups ◽  
Arbitrary Field ◽  
Young Tableaux ◽  
Reflection Groups ◽  
Specht Modules ◽  
Irreducible Modules ◽  
Original Approach

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.

scholarly journals Irreducible Specht modules for Hecke algebras of type A

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

scholarly journals On Specht modules of general linear groups

2003 ◽  
Vol 269 (2) ◽  
pp. 726-734 ◽  
Author(s):  
Sinéad Lyle
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
Specht Modules ◽  
General Linear Groups

scholarly journals p-restriction of partitions and homomorphisms between Specht modules

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

scholarly journals Graded Specht modules

2011 ◽  
Vol 2011 (655) ◽  
Author(s):  
Jonathan Brundan ◽  
Alexander Kleshchev ◽  
Weiqiang Wang
Keyword(s):  
Specht Modules

scholarly journals Specht modules and symmetric groups

1975 ◽  
Vol 36 (1) ◽  
pp. 88-97 ◽  
Author(s):  
M.H Peel
Keyword(s):  
Symmetric Groups ◽  
Specht Modules

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.)

scholarly journals On Specht modules for general linear groups

2004 ◽  
Vol 275 (1) ◽  
pp. 106-142 ◽  
Author(s):  
Richard Dipper ◽  
Gordon James
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
Specht Modules ◽  
General Linear Groups

scholarly journals Some counterexamples in the theory of Specht modules

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