most citedInteger Representations of Classical Weyl Groups

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math.CO2023

An Inversion Statistic on the Hyperoctahedral Group

Hasan Arslan, Alnour Altoum, Hilal Karakus Arslan

In this paper, we introduce an inversion statistic on the hyperoctahedral group by using an decomposition of a positive root system of this reflection group. Then we prove so…

math.CO2022

Integer Representations of the Generalized Symmetric Groups

Hasan Arslan, Alnour Altoum, Mariam Zaarour

In this paper, we construct a mixed-base number system over the generalized symmetric group , which is a complex reflection group with a root system of type .…