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

abstract

• 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.

authors

• Landsberg, Joseph

published proceedings

• DISCRETE MATHEMATICS

author list (cited authors)

• Kumar, S., & Landsberg, J. M.

citation count

• 5

complete list of authors

• Kumar, Shrawan||Landsberg, JM

publication date

• January 2015

publisher

• Elsevier  Publisher

published in

• Discrete Mathematics  Journal

keywords

• Alon-tarsi Conjecture
• Determinant
• Foulkes-howe Conjecture
• Geometric Complexity Theory
• Latin Square
• Permanent

Digital Object Identifier (DOI)

• 10.1016/j.disc.2015.01.027

start page

• 1232

end page

• 1238

volume

• 338

issue

• 7

URL

• http://dx.doi.org/10.1016/j.disc.2015.01.027