Geodesic
Major indices and perfect bases for complex reflection groups.
The electronic journal of combinatorics, Tome 15 (2008)
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It is shown that, under mild conditions, a complex reflection group $G(r,p,n)$ may be decomposed into a set-wise direct product of cyclic subgroups. This property is then used to extend the notion of major index and a corresponding Hilbert series identity to these and other closely related groups.
DOI : 10.37236/785
Classification : 20F55, 20F05
Mots-clés : complex reflection groups, major index, Hilbert series 
@article{10_37236_785,
     author = {Robert Shwartz and Ron M. Adin and Yuval Roichman},
     title = {Major indices and perfect bases for complex reflection groups.},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/785},
     zbl = {1190.20030},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/785/}
}
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Robert Shwartz; Ron M. Adin; Yuval Roichman. Major indices and perfect bases for complex reflection groups.. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/785

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