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Polytopes Associated to Demazure Modules of Symmetrizable Kac–Moody Algebras of Rank Two

✍ Scribed by Raika Dehy

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 249 KB
Volume: 228
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8208

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✦ Synopsis

Weyl group. In this paper we construct polytopes P , P ; ‫ޒ‬ and a 1 2 linear map : ‫ޒ‬ lŽ . ª ᒅ* such that for any dominant weight s k q k , we

have Char E s e Ýe , where the sum is over all the integral points x, of the Ž . Ž . polytope k P q k P . Furthermore, we show that there exists a flat 1 1 2 2 deformation of the Schubert variety S into the toric variety defined by Ž . Ž . P , P .

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Real Characters for Demazure Modules of

Real Characters for Demazure Modules of Rank Two Affine Lie Algebras

✍ Yasmine B. Sanderson 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 211 KB

Using Littelmann's path model for highest weight representations of Kac᎐Moody algebras, we obtain explicit combinatorial expressions for certain specialized characters of all Demazure modules of A Ž1. and A Ž2. .