The Garnir relations for Weyl groups of type C-n

Can H.

ELECTRONIC JOURNAL OF COMBINATORICS, cilt.15, sa.1, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2008
  • Dergi Adı: ELECTRONIC JOURNAL OF COMBINATORICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes Üniversitesi Adresli: Evet

Özet

The Garnir relations play a very important role in giving combinatorial constructions of representations of the symmetric groups. For the Weyl groups of type C-n, having obtained the alternacy relation, we give an explicit combinatorial description of the Garnir relation associated with a Delta-tableau in terms of root systems. We then use these relations to find a K-basis for the Specht modules of the Weyl groups of type C-n.