Hadamard–Howe, and integrals over the special unitary group Connections between conjectures of Alon–Tarsi

© 2015 Elsevier B.V. All rights reserved. We show the Alon-Tarsi conjecture on Latin squares is equivalent to a very special case of a conjecture made independently by Hadamard and Howe, and to the non-vanishing of some interesting integrals over SU(n). Our investigations were motivated by geometric complexity theory.

Connections between conjectures of Alon–Tarsi, Hadamard–Howe, and integrals over the special unitary group Academic Article