Robinson-Schensted-Knuth superinsertion and super Frobenius formulae
The electronic journal of combinatorics, Tome 31 (2024) no. 2
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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

Deke Zhao  1

1 Beijing Normal University at Zhuhai
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     title = {Robinson-Schensted-Knuth superinsertion and super {Frobenius} formulae},
     journal = {The electronic journal of combinatorics},
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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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