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Graded level zero integrable representations of affine Lie algebras
Author(s):
Vyjayanthi
Chari;
Jacob
Greenstein
Journal:
Trans. Amer. Math. Soc.
360
(2008),
2923-2940.
MSC (2000):
Primary 17B67
Posted:
December 11, 2007
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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.
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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
DOI:
10.1090/S0002-9947-07-04394-2
PII:
S 0002-9947(07)04394-2
Received by editor(s):
February 23, 2006
Posted:
December 11, 2007
Additional Notes:
This work was partially supported by the NSF grant DMS-0500751
Copyright of article:
Copyright
2007,
American Mathematical Society
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