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Verma-Type Modules for Quantum Affine Lie Algebras

โœ Scribed by Vyacheslav M. Futorny; Alexander N. Grishkov; Duncan J. Melville


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
443 KB
Volume
8
Category
Article
ISSN
1386-923X

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Crystals for Demazure Modules of Classic
โœ Atsuo Kuniba; Kailash C. Misra; Masato Okado; Taichiro Takagi; Jun Uchiyama ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 336 KB

We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A ลฝ1. , B ลฝ1. , C ลฝ1. , D ลฝ1. , A ลฝ2. , A ลฝ2. , and D ลฝ2. . We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight is lโŒณ , the Dem