A translation principle for Kac-Moody algebras
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- by Wayne Neidhardt PDF
- Proc. Amer. Math. Soc. 100 (1987), 395-400 Request permission
Abstract:
Let $\mathfrak {g}$ be a Kac-Moody algebra defined by a symmetrizable generalized Cartan matrix. We show that the multiplicity of the irreducible module $L({w_1} \cdot \lambda )$ in the Verma module $M({w_2}\cdot \lambda )$ depends only on the elements ${w_1}$ and ${w_2}$ of the Weyl group, and not on the dominant integral weight $\lambda$, generalizing the translation principle of Jantzen for finite-dimensional algebras.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 395-400
- MSC: Primary 17B10; Secondary 17B67
- DOI: https://doi.org/10.1090/S0002-9939-1987-0891132-6
- MathSciNet review: 891132