@article{934f1b78fe9c45138462035ca7429836,
title = "Signed Mahonian polynomials for major and sorting indices",
abstract = "We derive some new signed Mahonian polynomials over the complex reflection group G(r, 1 , n) = Cr≀ Sn, where the “sign” is taken to be any of the 2r 1-dim characters and the “Mahonian” statistics are the lmaj defined by Bagno and the sor defined by Eu et al. Various new signed Mahonian polynomials over Coxeter groups of types Bn and Dn are obtained as well. We also investigate the signed counting polynomials on G(r, 1, n) for those statistics with the distribution [r] q[2 r] q⋯ [nr] q.",
keywords = "Coxeter group, Signed Mahonian, Sorting index, Wreath product",
author = "Huilan Chang and Eu, {Sen Peng} and Shishuo Fu and Zhicong Lin and Lo, {Yuan Hsun}",
note = "Funding Information: The authors would like to express their gratitude to the referees for their valuable comments and suggestions on improving the presentation of this paper. Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",
year = "2021",
month = feb,
doi = "10.1007/s10801-019-00926-2",
language = "English",
volume = "53",
pages = "201--226",
journal = "Journal of Algebraic Combinatorics",
issn = "0925-9899",
publisher = "Springer Netherlands",
number = "1",
}