Yufeng Yao

activity

20122021

most citedA family of non-weight modules over the super-Virasoro algebras

41 citations · 86 across the 19 of their papers we have counts for

collaborators

19 papers

math.RT2021★ 1 cited

Simple restricted modules over the Heisenberg-Virasoro algebra as VOA modules

Haijun Tan, Yufeng Yao, Kaiming Zhao

In this paper, we determine all simple restricted modules over the mirror Heisenberg-Virasoro algebra $D$ , and the twisted Heisenberg-Virasoro algebra $\bar\mathfrak{D…

math.RT2021

A new class of irreducible modules over the affine-Virasoro algebra of type $A_{1}$

Qiu-Fan Chen, Yu-Feng Yao

In this paper, we construct a class of non-weight modules over the affine-Virasoro algebra of type $A_{1}$ by taking tensor products of a finite number of irreducible modules $M(λ, α…

math.RT2021★ 1 cited

On enhanced reductive groups (II): Finiteness of nilpotent orbits under enhanced group action and their closures

Bin Shu, Yunpeng Xue, Yufeng Yao

This is a sequel to \cite{osy} and \cite{sxy}. Associated with $G:=\GL_n$ and its rational representation $(ρ, M)$ over an algebraically closed filed $\bk$, we define an enhanced a…

math.RT2021

Tensor products of the defining representations over the Witt algebra in positive characteristic

Hao Chang, Yu-Feng Yao

Let $A (1) := k [X] / (X^{p})$ be the natural representation of the Witt algebra $W (1)$ over an algebraically closed field of prime characteristic $p > 3$ . In this note, we decompose the $W(…

math.RT2021

Quasi-simple modules and Loewy lengths in modular representations of reductive Lie algebras

Yi-Yang Li, Bin Shu, Yu-Feng Yao

Let $g$ be a reductive Lie algebra over an algebraically closed field of characteristic $p > 0$ . In this paper, we study the representations of $g$ with a $p$ -character $…

math.RT2021★ 1 cited

Irreducible tensor product modules over the affine-Virasoro algebra of type $A_{1}$

Qiu-Fan Chen, Yu-Feng Yao

In this paper, we construct a class of non-weight modules over the affine-Virasoro algebra of type $A_{1}$ by taking tensor products of irreducibles defined in [Q. Chen, J. Han, Non-…

math.RT2021

On structure of graded restricted simple Lie algebras of Cartan type as modules over the Witt algebra

Ke Ou, Yu-Feng Yao

Any graded restricted simple Lie algebra of Cartan type contains a subalgebra isomorphic to the Witt algebra over a field of prime characteristic. As some analogue of study on bran…

math.RA2020

2-local derivations on the Jacobson-Witt algebras in prime characteristic

Yufeng Yao, Kaiming Zhao

This paper initiates the study of 2-local derivations on Lie algebras over fields of prime characteristic. Let $g$ be a simple Jacobson-Witt algebra $W_{n}$ over a field o…

math.RT2020

Whittaker modules for the planar Galilean conformal algebra and its central extension

Qiufan Chen, Yufeng Yao, Hengyun Yang

Let $G$ be the planar Galilean conformal algebra and $G$ be its universal central extension. Then $G$ (resp. $G$ ) ad…

math.RT2020★ 2 cited

On enhanced reductive groups (I): Parabolic Schur algebras and the dualities related to degenerate double Hecke algebras

Bin Shu, Yunpeng Xue, Yufeng Yao

An enhanced algebraic group $\uG$ of $G=\GL(V)$ over $\bbc$ is a product variety $\GL(V)\times V$, endowed with an enhanced cross product. Associated with a natural tensor represen…

math.RT2019★ 2 cited

On non-weight representations of the $N = 2$ superconformal algebras

Hengyun Yang, Yufeng Yao, Limeng Xia

In this paper, we construct a family of non-weight modules over the untwisted $N = 2$ superconformal algebras. Those modules when regarded as modules over the Cartan subalgebra (modu…

math.RT2019

Parabolic BGG categories and their block decomposition for Lie superalgebras of Cartan type

Fei-Fei Duan, Bin Shu, Yu-Feng Yao

In this paper, we study the parabolic BGG categories for graded Lie superalgebras of Cartan type over complex numbers. The gradation of such a Lie superalgebra $⋙$ naturally ari…

math.RT2019

The Category $O$ for Lie algebras of vector fields (I): Tilting modules and character formulas

Fei-Fei Duan, Bin Shu, Yu-Feng Yao

In this article, we exploit the theory of graded module category with semi-infinite character developed by Soergel in \cite{Soe} to study representations of the infinite dimensiona…

math.RT2019★ 41 cited

A family of non-weight modules over the super-Virasoro algebras

Hengyun Yang, Yufeng Yao, Limeng Xia

In this paper, we construct a family of non-weight modules over the super-Virasoro algebras. Those modules when regarded as modules of the Ramond algebra and further restricted as…

math.RT2018★ 27 cited

Non-weight modules over algebras related to the Virasoro algebra

Qiu-Fan Chen, Yu-Feng Yao

In this paper, we study a class of non-weight modules over two kinds of algebras related to the Virasoro algebra, i.e., the loop-Virasoro algebras $L$ and a class of Blo…

math.RT2017★ 1 cited

Simple modules over the Lie algebras of divergence zero vector fields on a torus

Brendan Frisk Dubsky, Xianqian Guo, Yufeng Yao +1

Let $n \geq 2$ be an integer, $K_{n}$ the Weyl algebra over the Laurent polynomial algebra $A_{n} = C [x_{1}^{\pm 1}, x_{2}^{\pm 1}, ..., x_{n}^{\pm 1}]$ , and $S_{n}$ the L…

math.RT2014★ 3 cited

A criterion for irreducibility of parabolic baby Verma modules of reductive Lie algebras

Yi-Yang Li, Bin Shu, Yu-Feng Yao

Let $G$ be a connected, reductive algebraic group over an algebraically closed field $k$ of prime characteristic $p$ and $g = L i e (G)$ . In this paper, we study representati…

math.RT2013★ 4 cited

Nilpotent commuting varieties of the Witt algebra

Yu-Feng Yao, Hao Chang

Let $g$ be the $p$ -dimensional Witt algebra over an algebraically closed field $k$ of characteristic $p > 3$ . Let $N = x \in ⋙ ∣ x^{[p]} = 0$ be the nilpotent v…

math.RT2012★ 3 cited

Borel subalgebras of the Witt algebra $W_{1}$

Yu-Feng Yao, Hao Chang

Let $F$ be an algebraically closed field of characteristic $p > 3$ , and $⋙$ the $p$ -dimensional Witt algebra over $F$ . Let $N$ be the nilpotent cone of $⋙$ .…

Simple restricted modules over the Heisenberg-Virasoro algebra as VOA modules

A new class of irreducible modules over the affine-Virasoro algebra of type A1​

On enhanced reductive groups (II): Finiteness of nilpotent orbits under enhanced group action and their closures

Tensor products of the defining representations over the Witt algebra in positive characteristic

Quasi-simple modules and Loewy lengths in modular representations of reductive Lie algebras

Irreducible tensor product modules over the affine-Virasoro algebra of type A1​

On structure of graded restricted simple Lie algebras of Cartan type as modules over the Witt algebra

2-local derivations on the Jacobson-Witt algebras in prime characteristic

Whittaker modules for the planar Galilean conformal algebra and its central extension

On enhanced reductive groups (I): Parabolic Schur algebras and the dualities related to degenerate double Hecke algebras

On non-weight representations of the N=2 superconformal algebras

Parabolic BGG categories and their block decomposition for Lie superalgebras of Cartan type

The Category O for Lie algebras of vector fields (I): Tilting modules and character formulas

A family of non-weight modules over the super-Virasoro algebras

Non-weight modules over algebras related to the Virasoro algebra

Simple modules over the Lie algebras of divergence zero vector fields on a torus

A criterion for irreducibility of parabolic baby Verma modules of reductive Lie algebras

Nilpotent commuting varieties of the Witt algebra

Borel subalgebras of the Witt algebra W1​

A new class of irreducible modules over the affine-Virasoro algebra of type $A_{1}$

Irreducible tensor product modules over the affine-Virasoro algebra of type $A_{1}$

On non-weight representations of the $N = 2$ superconformal algebras

The Category $O$ for Lie algebras of vector fields (I): Tilting modules and character formulas

Borel subalgebras of the Witt algebra $W_{1}$