Bin-Ni Sun

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math.RT2023

Strongly Commuting Ring and The Prounet-Tarry-Escott Problem

Bin-Ni Sun, yufeng Zhao

In 1935, Wright conjectured that ideal solutions to the PTE problem in Diophantine number theory should exist. In this paper, we prove Wright's conjecture holds true based on the t…

math.RT2023

Descriptions of strongly multiplicity free representations for simple Lie algebras

Binni Sun, Yufeng Zhao

Let $g$ be a complex simple Lie algebra and $Z (g)$ be the center of the universal enveloping algebra $U (g)$ . Denote by $V_{λ}$ the finite-dimensional…