Mathematics – Representation Theory
Scientific paper
1996-07-05
Mathematics
Representation Theory
Scientific paper
The purpose of this note is to give an insertion scheme proof of the formula, $$p_\mu = \sum_{\lambda\vdash k} \chi^\lambda(\mu)s_\lambda,\formula$$ where $p_\mu$ is the power sum symmetric function, $s_\lambda$ is the Schur function and $\chi^\lambda(\mu)$ is the irreducible character of the symmetric group $S_k$ indexed by the partition $\lambda$ and evaluated at a permutation of cycle type $\mu=(\mu_1,\ldots,\mu_\ell)$. The proof of this formula is by direct application of the Robinson-Schensted-Knuth insertion scheme and a recent formula of Roichman.
No associations
LandOfFree
Robinson-Schensted-Knuth insertion and characters of symmetric groups and Iwahori-Hecke algebras of type A does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Robinson-Schensted-Knuth insertion and characters of symmetric groups and Iwahori-Hecke algebras of type A, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Robinson-Schensted-Knuth insertion and characters of symmetric groups and Iwahori-Hecke algebras of type A will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-81163