Submodules of Specht modules for Weyl groups

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Atıf İçin Kopyala

HALICIOĞLU S.

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, cilt.39, ss.43-50, 1996 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 39
• Basım Tarihi: 1996
• Doi Numarası: 10.1017/s0013091500022768
• Dergi Adı: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.43-50
• Ankara Üniversitesi Adresli: Evet

Özet

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. Halicioglu and Morris describe a possible extension of James' work for Weyl groups in general, where Young tableux are interpreted in terms of root systems. In this paper we show how to construct submodules of Specht modules for Weyl groups.