A TOPOLOGICAL APPROACH TO REPRESENTATIONS OF THE IWAHORI-HECKE ALGEBRA

DOI10.1142/S0217751X90002178zbMath0716.20023OpenAlexW2065572483MaRDI QIDQ3203215

R. J. Lawrence

Publication date: 1990

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x90002178

zbMATH Keywords

conformal field theoryvector bundleYoung diagramsmonodromy representationhomology spacesrepresentations of the \(A_ n^{(1)}\)-series of Hecke algebrasbraid group representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Braid groups; Artin groups (20F36) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

Topological representations of quantum groups and conformal field theory ⋮ Geometry of Wess-Zumino-Witten models of conformal field theory ⋮ Generalized hypergeometric functions on the torus and the adjoint representation of \(U_ q(sl_ 2)\) ⋮ Topological representations of the quantum group \(U_ q(sl_ 2)\) ⋮ The Long-Moody construction and polynomial functors ⋮ Topological representations of \(U_ q(\text{sl}_ 2(\mathbb{C}))\) on the torus and the mapping class group

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