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arXiv · 1212.0150

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

Abstract

For a restricted Verma module of an affine Kac-Moody algebra at the critical level we describe the Jantzen filtration and give an alternating sum formula which 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 deduced by Arakawa and Fiebig.

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BibTeXRIS

Johannes Kübel. 2012-12-01. Jantzen sum formula for restricted Verma modules over affine Kac-Moody algebras at the critical level. https://doi.org/10.2140/pjm.2014.269.371

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