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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📜 SIMILAR VOLUMES
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
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