Major indices and perfect bases for complex reflection groups

Robert Shwartz; Ron M. Adin; Yuval Roichman

doi:10.37236/785

Major indices and perfect bases for complex reflection groups

Robert Shwartz, Ron M. Adin, Yuval Roichman

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 Hubert series identity to these and other closely related groups.

Original language	English
Article number	R61
Journal	Electronic Journal of Combinatorics
Volume	15
Issue number	1 R
DOIs	https://doi.org/10.37236/785
State	Published - 18 Apr 2008
Externally published	Yes

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10.37236/785

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abstract = "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 Hubert series identity to these and other closely related groups.",

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AB - 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 Hubert series identity to these and other closely related groups.

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Major indices and perfect bases for complex reflection groups

Abstract

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