\(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras

DOI10.1215/S0012-7094-04-12524-2zbMath1107.17013arXivmath/0303173MaRDI QIDQ1766225

Dennis Gaitsgory, Edward V. Frenkel'

Publication date: 28 February 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303173

zbMATH Keywords

D-moduleGrassmannianaffine Kac-Moody algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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Cites Work

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• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Wakimoto modules, opers and the center at the critical level
• AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
• Self-extensions of Verma modules and differential forms on opers
• Jet schemes of locally complete intersection canonical singularities.