Robinson-Schensted-Knuth superinsertion and super Frobenius formulae
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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 via the RSK superinsertion algorithm. As a corollary, we obtain a new proof of Mitsuhashi's super Frobenius formula for the characters of Iwahori-Hecke algebras.
DOI :
10.37236/11353
Classification :
20C08, 20C15, 05E10, 05E05
Affiliations des auteurs :
Deke Zhao  1
@article{10_37236_11353,
author = {Deke Zhao},
title = {Robinson-Schensted-Knuth superinsertion and super {Frobenius} formulae},
journal = {The electronic journal of combinatorics},
year = {2024},
volume = {31},
number = {2},
doi = {10.37236/11353},
zbl = {1537.20017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/11353/}
}
Deke Zhao. Robinson-Schensted-Knuth superinsertion and super Frobenius formulae. The electronic journal of combinatorics, Tome 31 (2024) no. 2. doi: 10.37236/11353
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