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Tıkız G= A_3 için döngü grubu LG'nin Weyl grubunun elemanlarının sınıflandırılması

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2007
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Abstract (EN)

In this thesis we describe the general theory of compact connected semi-simple Lie groups and algebras including root system, Weyl group an Dynkin diagram, and we describe the root system and Weyl group of LG as well. We give the group presentation of the affine Weyl group of G = ? A3. We classify all elements of affine Weyl group ?W and ?W = ?W =W for A?3. Keywords: Lie group, Lie algebra, Loop group, Affine Weyl group, Ka?c-Moody Lie algebras.

Author

Ali Topraklı

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Ali Topraklı (Master Thesis). Tıkız G= A_3 için döngü grubu LG'nin Weyl grubunun elemanlarının sınıflandırılması, 2007, Bolu Abant İzzet Baysal University.

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