The linkage principle for restricted critical level representations of affine Kac–Moody algebras

DOI10.1112/S0010437X12000395zbMath1343.17016arXiv0909.4214MaRDI QIDQ4911986

Peter Fiebig, Tomoyuki Arakawa

Publication date: 20 March 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4214

zbMATH Keywords

linkage principle

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

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Cites Work

• The combinatorics of category \({\mathcal O}\) over symmetrizable Kac-Moody algebras
• Sugawara operators and Kac-Kazhdan conjecture
• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Projective modules over graded Lie algebras. I
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Centers and translation functors for the category \({\mathcal O}\) over Kac-Moody algebras
• Wakimoto modules, opers and the center at the critical level
• On the restricted Verma modules at the critical level
• Local geometric Langlands correspondence and affine Kac-Moody algebras