Jantzen sum formula for restricted Verma modules over affine Kac-Moody algebras at the critical level

@inproceedings{Kubel2012JantzenSF,
title={Jantzen sum formula for restricted Verma modules over affine Kac-Moody algebras at the critical level},
author={Johannes Kubel},
year={2012}
}
For a restricted Verma module of an affine Kac-Moody algebra at the critical level we describe the Jantzen filtration and calculate its character. This corresponds to the Jantzen sum formula of a baby Verma module over a modular Lie algebra. This also implies a new proof of the linkage principle which was already derived by Arakawa and Fiebig.
2 Citations
Centers for the restricted category O at the critical level over affine Kac-Moody algebras
The restricted category O at the critical level over an affine Kac-Moody algebra is a certain subcategory of the ordinary BGG-category O. We study a deformed version introduced by Arakawa and Fiebig
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