How to regularize singular vectors and kill the dynamical Weyl group

DOI10.1016/S0001-8708(03)00166-XzbMath1046.17004arXivmath/0206294OpenAlexW2030276987MaRDI QIDQ1826882

Yanyan Li

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206294

zbMATH Keywords

Verma modulesimple Lie algebrasingular vectordynamical Weyl group

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (4)

Quantum dynamical coboundary equation for finite dimensional simple Lie algebras ⋮ Regularization of Mickelsson generators for nonexceptional quantum groups ⋮ Quantum group as semi-infinite cohomology ⋮ Orthogonality and the qKZB-heat equation for traces of \(U_q({\mathfrak g})\)-intertwiners

Cites Work

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• Advanced determinant calculus
• Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
• Dynamical Weyl groups and applications
• Singular vectors in Verma modules over Kac-Moody algebras
• A Kohno-Drinfeld theorem for quantum Weyl groups
• Duality for Knizhnik-Zamolodchikov and dynamical equations
• Structure of representations generated by vectors of highest weight

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