An expansion formula for the inversions and excedances in the symmetric group

TL;DR

This paper proves a recent conjecture providing a new expansion formula for inversions and excedances in the symmetric group, enhancing understanding of permutation statistics.

Contribution

It establishes a proven expansion formula for inversions and excedances, confirming a conjecture by Blanco and Petersen.

Findings

Confirmed the conjecture on expansion formulas

Provided a new combinatorial interpretation

Enhanced understanding of permutation statistics

Abstract

We prove a recent conjecture of Blanco and Petersen (arXiv:1206.0803v2) about an expansion formula for inversions and excedances in the symmetric group.