Signed Mahonian polynomials for major and sorting indices

Huilan Chang, Sen-Peng Eu, Shishuo Fu +2

We derive some new signed Mahonian polynomials over the complex reflection group $G(r,1,n)=C_r\wr {\mathfrak{S}}_n$, where the "sign" is taken to be any of the $2r$ $1$-dim characters…