Sketch of a Proof of an Intriguing Conjecture of Karola Meszaros and Alejandro Morales Regarding the Volume of the $D_n$ Analog of the Chan-Robbins-Yuen Polytope (Or: The Morris-Selberg Constant Term Identity Strikes Again!)

摘要

Using the Morris-Selberg Constant Term Identity, I sketch a proof of a recentconjecture by Karola Meszaros and Alejandro Morales, that I believe could beeasily made fully rigorous by a sufficiently skilled and, sufficientlyinterested, analyst. This conjecture is an analog to the root system $D_n$ of aconjecture made in 1998 by Clara Chan, the late David P. Robbins, and DavidYuen, that I proved immediately after, also using the Morris identity.