RSK superinsertion and super Frobenius formulae
Representation Theory
2019-10-31 v1 Combinatorics
Abstract
In this paper we extend the Robinson-Schensted-Knuth (RSK) superinsertion algorithm to hook-multipartitions and derive the super Frobenius formula for the characters of cyclotomic Hecke algebras (Linear and Multilinear Algebra, DOI: 10.1080/03081087.2019.1663140) via the RSK superinsertion algorithm. In particular, we obtain a new proof of Mitsuhashi's super Frobenius formula for the characters of Iwahori-Hecke algebras.
Cite
@article{arxiv.1910.13710,
title = {RSK superinsertion and super Frobenius formulae},
author = {Deke Zhao},
journal= {arXiv preprint arXiv:1910.13710},
year = {2019}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1809.02170