Fiebig P, Arakawa T (2012)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2012
Publisher: Springer Verlag (Germany) / Foundation Compositio Mathematica
Book Volume: 148
Pages Range: 1787-1810
Journal Issue: 6
DOI: 10.1112/S0010437X12000395
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.
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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