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Communications in Algebra Volume 30, 2002 - Issue 3
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Original Articles

Polytopes for Crystallized Demazure Modules and Extremal Vectors

Toshiki Nakashima Department of Mathematics, Sophia University, Chiyoda-ku, Tokyo, 102-8554, Japan
Pages 1349-1367 | Received 01 Sep 2000, Published online: 26 Dec 2007
 
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Abstract

We give a parametrization for crystal bases of Demazure modules as a set of lattice points in some convex polytope and we also describe explicitly the extremal vectors as solutions of some system of linear equations.

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