69 citations · 587 across the 100 of their papers we have counts for
27 papers · 1 filter
A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra
Lipeng Luo, Yucai Su, Xiaoqing Yue
In this paper, we obtain a class of -graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra. More precisely, we classify -grade…
Simple non-weight modules over Lie superalgebras of Block type
Yucai Su, Xiaoqing Yue, Xiaoyu Zhu
In this paper, a family of non-weight modules over Lie superalgebras of Block type are studied. Free -modules of rank over Ramond-Block algebras and free $U(\mathf…
Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras
Yucai Su, Xiaoqing Yue
In a previous paper by the authors, we obtain the first example of a finitely freely generated simple -graded Lie conformal algebra of linear growth that cannot be embed…
Finite irreducible conformal modules over the Lie conformal superalgebra
Haibo Chen, Yanyong Hong, Yucai Su
In the present paper, we introduce a class of infinite Lie conformal superalgebras , which are closely related to Lie conformal algebras of extended Block type defi…
A class of non-weight modules over the super-BMS algebra
Haibo Chen, Xiansheng Dai, Ying Liu +1
In the present paper, a class of non-weight modules over the super-BMS algebras ( or ) are constructed. Assume that $\mathfrak{t}=\C L_0\oplus\C W_0\opl…
New irreducible non-weight Virasoro modules from tensor products
Haibo Chen, Jianzhi Han, Yanyong Hong +1
In this paper, we present a class of non-weight Virasoro modules where and $\mathcal{M}\big(V,Ω(…
Finite irreducible conformal modules over the extended Block type Lie conformal algebra
Haibo Chen, Yanyong Hong, Yucai Su
In this paper, we introduce a class of infinite Lie conformal algebras , which are the semi-direct sums of Block type Lie conformal algebra a…
Irreducible twisted Heisenberg-Virasoro modules from tensor products
Haibo Chen, Yucai Su
In this paper, we realize polynomial $\H$-modules from irreducible twisted Heisenberg-Virasoro modules $\A_{α,β}$. It follows from $\H$-modules and $\mathrm{I…
Mixed cohomology of Lie superalgebras
Yucai Su, R. B. Zhang
We investigate a new cohomology of Lie superalgebras, which may be compared to a de Rham cohomology of Lie supergroups involving both differential and integral forms. It is defined…
Two classes of non-weight modules over the twisted Heisenberg-Virasoro algebra
Haibo Chen, Jianzhi Han, Yucai Su +1
In the present paper, we construct two classes of non-weight modules and over the twisted Heisenberg-Virasoro alg…
A family of new simple modules over the Schrödinger-Virasoro algebra
Haibo Chen, Yanyong Hong, Yucai Su
In this article, a large class of simple modules over the Schrödinger-Virasoro algebra are constructed, which include highest weight modules and Whittaker modules. Th…
Character and dimension formulae for queer Lie superalgebra
Yucai Su, R. B. Zhang
Closed formulae are constructed for the characters and dimensions of the finite dimensional simple modules of the queer Lie superalgebra q(n). This is achieved by refining Brundan'…
Affine walled Brauer algebras
Hebing Rui, Yucai Su
A new class of associative algebras referred to as affine walled Brauer algebras are introduced. These algebras are free with infinite rank over a commutative ring containing 1. Th…
Generalised Jantzen filtration of Lie superalgebras II: the exceptional cases
Yucai Su, R. B. Zhang
Let be an exceptional Lie superalgebra, and let be the maximal parabolic subalgebra which contains the distinguished Borel subalgebra and has a purely even Levi subalgebra.…
Classification of quasifinite representations of a Lie algebra related to Block type
Yucai Su, Chunguang Xia, Ying Xu
A well-known theorem of Mathieu's states that a Harish-chandra module over the Virasoro algebra is either a highest weight module, a lowest weight module or a module of the interme…
Indecomposable modules of the intermediate series over W(a,b) algebras
Yucai Su, Ying Xu, Xiaoqing Yue
For any complex parameters a,b, the W(a,b) algebra is the Lie algebra with basis {L_i,W_i|i\in Z}, and relations [L_i,L_j]=(j-i)L_{i+j}, [L_i,W_j]=(a+j+bi)W_{i+j},[W_i,W_j]=0. In t…
Quasifinite representations of a class of Block type Lie algebras $\BB$
Yucai Su, Chunguang Xia, Ying Xu
Intrigued by a well-known theorem of Mathieu's on Harish-Chandra modules over the Virasoro algebra, we give an analogous result for a class of Block type Lie algebras $\BB$, where…
Generalised Jantzen filtration of Lie superalgebras I
Yucai Su, R. B. Zhang
A Jantzen type filtration for generalised Varma modules of Lie superalgebras is introduced. In the case of type I Lie superalgebras, it is shown that the generalised Jantzen filtra…
Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)
Yucai Su, R. B. Zhang
The composition factors and their multiplicities are determined for generalised Verma modules over the orthosymplectic Lie superalgebra osp(k|2). The results enable us to obtain ex…
Graded modules for Virasoro-like algebra
Weiqiang Lin, Yucai Su
In this paper, we consider the classification of irreducible - and -graded modules with finite dimensional homogeneous subspaces over the Virasoro-like algebra.…
Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
Ran Shen, Yucai Su
We show that the support of an irreducible weight module over the twisted Heisenberg-Virasoro algebra, which has an infinite dimensional weight space, coincides with the weight lat…
Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle
Yucai Su
We prove that an irreducible quasifinite module over the central extension of the Lie algebra of -matrix differential operators on the circle is either a highest or lowe…
Classification of quasifinite -modules
Yucai Su, Bin Xin
It is proved that an irreducible quasifinite -module is a highest or lowest weight module or a module of the intermediate series; a uniformly bounded indecomposable weigh…
Some representations of nongraded Lie algebras of generalized Witt type
Yucai Su, Jianhua Zhou
In a paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them, are the simp…