The linkage principle for restricted critical level representations of affine KacMoody algebras

Fiebig P, Arakawa T (2012)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Compositio Mathematica Springer Verlag (Germany) / Foundation Compositio Mathematica

Publisher: Springer Verlag (Germany) / Foundation Compositio Mathematica

Book Volume: 148

Pages Range: 1787-1810

Journal Issue: 6

DOI: 10.1112/S0010437X12000395

Abstract

We study the restricted category ?' for an affine KacMoody algebra at the critical level. In particular, we prove the first part of the Feigin"Frenkel conjecture: the linkage principle for restricted Verma modules. Moreover, we prove a version of the Bernstein"Gelfand" Gelfand-reciprocity principle and we determine the block decomposition of the restricted category ?'. For the proofs, we need a deformed version of the classical structures, so we mostly work in a relative setting. © 2012 Foundation Compositio Mathematica.

Authors with CRIS profile

Peter Fiebig Professur für Mathematik (Algebra und Geometrie)

Involved external institutions

Kyoto University / 京都大学 Kyōto daigaku JP Japan (JP)

How to cite

APA:

Fiebig, P., & Arakawa, T. (2012). The linkage principle for restricted critical level representations of affine KacMoody algebras. Compositio Mathematica, 148(6), 1787-1810. https://dx.doi.org/10.1112/S0010437X12000395

MLA:

Fiebig, Peter, and Tomoyuki Arakawa. "The linkage principle for restricted critical level representations of affine KacMoody algebras." Compositio Mathematica 148.6 (2012): 1787-1810.

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