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28 March 2024
 
  » arxiv » math.QA/0205095

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Crystal structure of level zero extremal weight modules
Jonathan Beck ;
Date 9 May 2002
Subject Quantum Algebra | math.QA
AbstractWe consider the crystal structure of the level zero extremal weight modules $V(lambda)$ using the crystal base of the quantum affine algebra constructed by Beck, Chari and Pressley. This approach yields an explicit form for the U^- extremal weight vectors in each connected component of the crystal of $V(lambda)$, which are given as Schur functions in the imaginary root vectors. We use this fact to demonstrate Kashiwara’s conjectures regarding the crystal structure of $V(lambda)$.
Source arXiv, math.QA/0205095
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