Graded level zero integrable representations of affine Lie algebras
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- by Vyjayanthi Chari and Jacob Greenstein PDF
- Trans. Amer. Math. Soc. 360 (2008), 2923-2940 Request permission
Abstract:
We study the structure of the category of integrable level zero representations with finite dimensional weight spaces of affine Lie algebras. We show that this category possesses a weaker version of the finite length property, namely that an indecomposable object has finitely many simple constituents which are non-trivial as modules over the corresponding loop algebra. Moreover, any object in this category is a direct sum of indecomposables only finitely many of which are non-trivial. We obtain a parametrization of blocks in this category.References
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Additional Information
- Vyjayanthi Chari
- Affiliation: Department of Mathematics, University of California, Riverside, California 92521
- Email: vyjayanthi.chari@ucr.edu
- Jacob Greenstein
- Affiliation: Department of Mathematics, University of California, Riverside, California 92521
- Email: jacob.greenstein@ucr.edu
- Received by editor(s): February 23, 2006
- Published electronically: December 11, 2007
- Additional Notes: This work was partially supported by the NSF grant DMS-0500751
- © Copyright 2007 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 360 (2008), 2923-2940
- MSC (2000): Primary 17B67
- DOI: https://doi.org/10.1090/S0002-9947-07-04394-2
- MathSciNet review: 2379781