The Garnir Relations for Weyl Groups
The so-called Garnir relations are very important in the representation theory of the symmetric groups. In this paper, we give a possible extension of Garnir relations for Weyl groups in general.
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arXiv subjects
Sait Halicioğlu
Publications and source records attributed to Sait Halicioğlu.
Submodules of Specht Modules for Weyl Groups
The construction of all irreducible modules of the symmetric groups over an arbitrary field which reduce to Specht modules in the case of fields of characteristic zero is given by G.D.James. Halıcıoğlu and Morris describe a possible extension of James' work for Weyl groups in general, where Young tableaux are interpreted in terms of root systems. In this paper we show how to construct submodules of Specht modules for Weyl groups.
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