Fundamental weights, permutation weights and Weyl character formula

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Atıf İçin Kopyala

KARADAYI H. R., Gungormez M.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.32, sa.9, ss.1701-1707, 1999 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 32 Sayı: 9
• Basım Tarihi: 1999
• Doi Numarası: 10.1088/0305-4470/32/9/016
• Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.1701-1707
• İstanbul Teknik Üniversitesi Adresli: Evet

Özet

For a finite Lie algebra G(N) of rank N, the Weyl orbits W(Lambda(++)) of strictly dominant weights Lambda(++) contain dim W(G(N)) number of weights, where dim W/(G(N)) is the dimension of its Weyl group W/(G(N)). For any W(Lambda(++)), there is a very peculiar subset rho(Lambda(++)) for which we always have