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An Elementary Proof of Roichman’s Rule for Irreducible Characters of Iwahori-Hecke Algebras of Type A

  • Arun Ram
Part of the Progress in Mathematics book series (PM, volume 161)

Abstract

The purpose of this note is to give an elementary proof of a recent formula of Y. Roichman [Ro] which describes the irreducible characters of the Iwahori-Hecke algebras of type A. Roichman’s original proof is via a detailed analysis of the action of certain elements in the Iwahori-Hecke algebra in the terms of the Kazhdan-Lusztig basis of each irreducible representation. Here we shall show that the Robinson-Schensted-Knuth insertion algorithm can be used to show that Roichman’s rule is equivalent to the “Frobenius formula” for the characters of the Iwahori-Hecke algebras [Ra].

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Copyright information

© Birkhäuser 1998

Authors and Affiliations

  • Arun Ram
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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