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. 
View PDF on arXiv
2 Citations
Background Citations
2

2 Citations

Citation Type

Citation Type

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…
The trascendence of Kac-Moody algebras
With the main objective that it can be consulted by all researchers, mainly young people, interested in the study of the Kac-Moody algebras and their applications, this paper aims to present the…

References

SHOWING 1-9 OF 9 REFERENCES
On the restricted Verma modules at the critical level
We study the restricted Verma modules of an affine Kac-Moody algebra at the critical level with special emphasis on their Jordan-H"older multiplicities. The Feigin-Frenkel conjecture gives a formula…
The linkage principle for restricted critical level representations of affine Kac–Moody algebras
Abstract We study the restricted category 𝒪 for an affine Kac–Moody algebra at the critical level. In particular, we prove the first part of the Feigin–Frenkel conjecture: the linkage principle for…
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…
Structure of representations with highest weight of infinite-dimensional Lie algebras☆
Local geometric Langlands correspondence and affine Kac-Moody algebras
Let \( \mathfrak{g} \) be a simple Lie algebra over ℂ and G a connected algebraic group with Lie algebra \( \mathfrak{g} \). The affine Kac-Moody algebra \( \hat {\mathfrak{g}} \) is the universal…
Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p : independence of p
The method disclosed herein may be practiced by passing the vapors to be sampled along a path with halogen vapor, preferably chlorine vapor, heating the mixed vapors to halogenate those of the…
Moduln mit einem höchsten Gewicht
In diesem Kapitel werden die wichtigsten Eigenschaften der Moduln mit einem hochsten Gewicht fur unsere halbeinfache, zerfallende Lie-Algebra g referiert und allgemein die Kategorie O betrachtet. Bei…
Letzter, Shapovalov determinant for restricted and quantized restricted enveloping algebras, Pacific
  • J. Math
  • 1997
Affine Kac-Moody algebras at the critical level and Gel’fandDikii algebras, Infinite analysis, Part A
  • B (Kyoto,
  • 1991