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math.RT2024
Revisiting Foulkes characters of wreath products
Deke Zhao
The article is concerned with the Foulkes characters of wreath products, which are block characters of wreath products, i.e., the positive-definite class functions depending only o…
math.RT2024
Characters of Ariki--Koike algebras
Deke Zhao
In this paper, we prove the Regev formulae for the characters of the Ariki--Koike algebras by applying the Schur--Sergeev reciprocity between the quantum superalgebras and the Arik…
math.RT2024
Markov traces on degenerate cyclotomic Hecke algebras
Deke Zhao
Let be the degenerate cyclotomic Hecke algebra with parameter over . We define and construct t…