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Crystal structure of level zero extremal weight modules | Jonathan Beck
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9 May 2002 | Subject: | Quantum Algebra | math.QA | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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