Twisted de Rham complex on line and singular vectors in \(\widehat{\mathfrak{sl}_2}\) Verma modules

DOI10.3842/SIGMA.2019.075zbMath1460.17029arXiv1812.09791OpenAlexW2977043422MaRDI QIDQ2330852

Alexey Slinkin, Alexander Varchenko

Publication date: 23 October 2019

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09791

zbMATH Keywords

twisted de Rham complexlogarithmic differential forms\(\widehat{\mathfrak{sl}_2}\)-modulesLie algebra chain complexes

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Anyonic topological order in twisted equivariant differential (TED) K-theory ⋮ Anyonic defect branes and conformal blocks in twisted equivariant differential (TED) K-theory ⋮ An invariant subbundle of the KZ connection mod \(p\) and reducibility of \(\widehat{{\mathfrak{sl}_2}}\) Verma modules mod \(p\)

Cites Work

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• Structure of representations with highest weight of infinite-dimensional Lie algebras
• Arrangements of hyperplanes and Lie algebra homology
• On algebraic equations satisfied by hypergeometric correlators in WZW models. I
• Factorizable \({\mathcal D}\)-modules
• Singular vectors in Verma modules over Kac-Moody algebras
• On algebraic equations satisfied by hypergeometric correlators in WZW models. II
• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors
• Rational differential forms on line and singular vectors in Verma modules over $\widehat {sl}_2$

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