4 papers
math.RT2026
A categorification of the Brenti--Welker identity
Deke Zhao, Zhankui Xiao
The paper aims to provide a categorification of the Brenti--Welker identity involving Eulerian numbers in (Adv. Appl. Math. 42 (2009): 545--556) by lifting it from an enumerative e…
math.RT2026
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.RT2026
Markov traces on degenerate cyclotomic Hecke algebras
Deke Zhao
Let be the degenerate cyclotomic Hecke algebra with parameter over . We define and construct t…
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…