Generating functions and triangulations for lecture hall cones

Matthias Beck, Benjamin Braun, Matthias Köppe +2

We investigate the arithmetic-geometric structure of the lecture hall cone \[ L_n \ := \ \left\{λ\in \mathbb{R}^n: \, 0\leq \frac{λ_1}{1}\leq \frac{λ_2}{2}\leq \frac{λ_3}{3}\leq \c…