Hasan Arslan

collaborators

3 papers

math.CO2024

Combinatorics of $q$ -Mahonian numbers of type $B$ and log-concavity

Ali Kessouri, Moussa Ahmia, Hasan Arslan +1

This paper is a continuation of earlier work of Arslan \cite{Ars}, who introduced the Mahonian number of type $B$ by using a new statistic on the hyperoctahedral group $B_{n}$ , in…

math.CO2024

A combinatorial interpretation of Mahonian numbers of type B

Hasan Arslan

In this paper, we first introduce the number of signed permutations with exactly $k$ inversions, which is denoted by $i_{B} (n, k)$ and called \textit{Mahonian numbers of type $B$ }. Th…

math.RT2014

Generalized Burnside Algebra of type $B_{n}$

Hasan Arslan, Himmet Can

We define the generalized Burnside algebra $H B (W_{n})$ for $B_{n}$ -type Coxeter group $W_{n}$ and construct an surjective algebra morphism between Mantaci-Reutenauer algebra ${\sum…

Combinatorics of q-Mahonian numbers of type B and log-concavity

A combinatorial interpretation of Mahonian numbers of type B

Generalized Burnside Algebra of type Bn​

Combinatorics of $q$ -Mahonian numbers of type $B$ and log-concavity

Generalized Burnside Algebra of type $B_{n}$