Yufeng Zhao

activity

20102026

most citedGeneralized Projective Representations for sl(n+1)

3 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2026

Commutativity of invariant differential operators on vector bundles on Hermitian symmetric spaces

Robin van Haastrecht, Genkai Zhang, Yufeng Zhao

Let $G / K$ be a Hermitian symmetric space and $V_{τ}$ an irreducible representation of $K$ . We study the ring $D^{G} (G / K, V_{τ})$ of $G$ -invariant differential operators on secti…

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…

math.RT2012

Proof of Kac and Rudakov's Conjecture on Generalized Verma Module over Lie Superalgebra E(5,10)

Yufeng Zhao

The exceptional infinite-dimensional linearly compact simple Lie superalgebra $E (5, 10)$ , which Kac believes, is the algebra of symmetries of the $S U_{5}$ Grand Unified Model. I…

math.RT2011★ 2 cited

Generalized Conformal Representations of Orthogonal Lie Algebras

Xiaoping Xu, Yufeng Zhao

The conformal transformations with respect to the metric defining $o(n,\mbb{C})$ give rise to a nonhomogeneous polynomial representation of $o(n+2,\mbb{C})$. Using Shen's technique…

math.RT2010★ 3 cited

Generalized Projective Representations for sl(n+1)

Yufeng Zhao, Xiaoping Xu

It is well known that $n$ -dimensional projective group gives rise to a non-homogenous representation of the Lie algebra $s l (n + 1)$ on the polynomial functions of the projective spac…