𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Real Characters for Demazure Modules of Rank Two Affine Lie Algebras

✍ Scribed by Yasmine B. Sanderson


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
211 KB
Volume
184
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


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. .


📜 SIMILAR VOLUMES


Crystals for Demazure Modules of Classic
✍ Atsuo Kuniba; Kailash C. Misra; Masato Okado; Taichiro Takagi; Jun Uchiyama 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 336 KB

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 Dem

Polytopes Associated to Demazure Modules
✍ Raika Dehy 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 249 KB

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

Classification of Irreducible Nonzero Le
✍ V Futorny; A Tsylke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th