A ribbon Hopf algebra approach to the irreducible representations of centralizer algebras: The Brauer, Birman-Wenzl, and type A Iwahori-Hecke algebras

DOI10.1006/aima.1997.1602zbMath0936.17016OpenAlexW1966422925MaRDI QIDQ677490

Arun Ram, Robert Leduc

Publication date: 17 July 1997

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

Full work available at URL: https://doi.org/10.1006/aima.1997.1602

zbMATH Keywords

centralizer algebrasHopf algebrairreducible representationsfundamental representationBrauer algebraspath algebraquasitriangular Hopf algebrasIwahori-Hecke algebrasMarkov traceBirman-Wenzl-Murakami algebras\({\mathcal R}\)-matrixcomplex simple Lie algebras of types B, C, DDrinfel'd-Jimbo quantum groupsribbon Hopf algebrasType A

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary representations and characters (20C15)

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