Topological representations of the quantum group \(U_ q(sl_ 2)\)

DOI10.1007/BF02102043zbMath0722.55005MaRDI QIDQ756198

Giovanni Felder, Christian Wieczerkowski

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum groupconfiguration spacebraid groupoidtopological action

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Homology with local coefficients, equivariant cohomology (55N25)

Related Items (16)

Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations for \(q\)-hypergeometric functions ⋮ Canonical quantization of the boundary Wess-Zumino-Witten model ⋮ SLE boundary visits ⋮ Localization of modules over small quantum groups ⋮ Asymptotic solutions to the Knizhnik-Zamolodchikov equation and crystal base ⋮ Toda conformal blocks, quantum groups, and flat connections ⋮ A homological model for \(U_q\mathfrak{sl}(2)\) Verma modules and their braid representations ⋮ The Lawrence-Krammer-Bigelow representations of the braid groups via \(U_q(\mathfrak{sl}_2)\). ⋮ Topological representations of quantum groups and conformal field theory ⋮ Dressing symmetries ⋮ Integrable connections related to zonal spherical functions ⋮ Quantum group as semi-infinite cohomology ⋮ Generalized hypergeometric functions on the torus and the adjoint representation of \(U_ q(sl_ 2)\) ⋮ The quantum group dual of the first-row subcategory for the generic Virasoro VOA ⋮ Monodromy Groups and Bilinear Monodromy Invariant Combinations of Generalized Hypergeometric Type Integrals ⋮ Topological representations of \(U_ q(\text{sl}_ 2(\mathbb{C}))\) on the torus and the mapping class group

Cites Work

• \(U_q(\mathrm{sl}(2))\) invariant operators and minimal theories fusion matrices
• Modular covariance of minimal model correlation functions
• Quantum groups, quantum categories and quantum field theory
• Braid matrices and structure constants for minimal conformal models
• A TOPOLOGICAL APPROACH TO REPRESENTATIONS OF THE IWAHORI-HECKE ALGEBRA
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras

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