Can I read Lecture Hall Partitions and the Affine Hyperoctahedral Group on EtoBox?

Lecture Hall Partitions and the Affine Hyperoctahedral Group by Hanusa, Christopher R. H.; Savage, Carla D. is a scholarly article available to read on EtoBox.

What is Lecture Hall Partitions and the Affine Hyperoctahedral Group about?

In 1997 Bousquet-M\'elou and Eriksson introduced lecture hall partitions as the inversion vectors of elements of the parabolic quotient $\widetilde{C}/C$. We provide a new view of their correspondence that allows results in one domain to be translated into the other. We determine the equivalence between combinatorial statistics in each domain and use this correspondence to translate certain generating function formulas on lecture hall partitions to new observations about $\widetilde{C}/C$.

Author

Hanusa, Christopher R. H.; Savage, Carla D.

Published

2017

Language

EN