1 citations · 1 across the 4 of their papers we have counts for
4 papers
Cauchy numbers in type
Alnour Altoum, Hasan Arslan, Mariam Zaarour
In this paper, we will introduce the Cauchy numbers of both kinds in type B and produce their corresponding exponential generating functions. Then we will provide some identities i…
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…
Integer Representations of Classical Weyl Groups
Hasan Arslan, Alnour Altoum, Mariam Zaarour
In this paper, we define a mixed-base number system over a Weyl group of type , the group even-signed permutations. We introduce one-to-one correspondence between positive integ…
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 .…