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Crystals for Demazure Modules of Classical Affine Lie Algebras

✍ Scribed by Atsuo Kuniba; Kailash C. Misra; Masato Okado; Taichiro Takagi; Jun Uchiyama

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 336 KB
Volume: 208
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7503

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✦ Synopsis

We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types A Ž1. , B Ž1. , C Ž1. , D Ž1. , A Ž2. , A Ž2. , and D Ž2. . We find a special

sequence of affine Weyl group elements for the selected perfect crystal, and show that if the highest weight is l⌳ , the Demazure crystal has a remarkably simple 0 structure.

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