# Robinson-Schensted-Knuth insertion and characters of symmetric groups and Iwahori-Hecke algebras of type A

## Author

**Arun Ram**

## Status

Research Report 96-23

Date: May 1996

## Abstract

The purpose of this note is to give an insertion scheme proof of the formula,
which expresses the power sum symmetric functions in terms of the basis of Schur
functions via the irreducible characters of the symmetric group. The proof of
this formula will be by direct application of the Robinson-Schensted-Knuth
insertion scheme and a recent formula of Roichman. A similar proof is also
given for the formula which describes the irreducible characters of the
Iwahori-Hecke algebras of type A in terms of symmetric functions.

## Key phrases

Symmetric functions. symmetric group. representations.

## AMS Subject Classification (1991)

Primary: 20C30

Secondary: 05E05, 05E10

## Content

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