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Lie powers of modules for GL(2,p)

✍ Scribed by R.M. Bryant; L.G. Kovács; Ralph Stöhr


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
147 KB
Volume
260
Category
Article
ISSN
0021-8693

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Let \(\lambda\) be a partition of some nonnegative integer \(f\). Let \(n\) be any integer such that \(n \geq \lambda_{1}+1\). Then \(\lambda\) labels a weight for the Lie superalgebra \(C_{n}\). Let \(V^{\prime}(\lambda)\) denote the irreducible module for \(C_{n}\) with highest weight labelled by

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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