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Lieb's permanental dominance conjecture (2202.01867v1)

Published 3 Feb 2022 in math.RT, math.CO, and math.HO

Abstract: We survey the impact of Lieb's influential paper "Proofs of some conjectures on permanents" [J. Math. Mech. 16 1966, 127-134], which introduced the famous permanental dominance conjecture. This conjecture has defied all attacks for over half a century, although a number of related conjectures have recently been resolved.

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