Hongjia Chen

activity

20062019

most citedModules over the Heisenberg-Virasoro and

W (2, 2)

algebras

62 citations · 167 across the 9 of their papers we have counts for

collaborators

9 papers

math.RT2019

Finite dimensional irreducible representations of the nullity 2 centreless core $g_{2 n, ρ} (C_{q})$

Sandeep Bhargava, Hongjia Chen, Yun Gao

We study the finite-dimensional irreducible representations of the nullity 2 centreless core $g_{2 n, ρ} (C_{q})$ by investigating the structure of the $\mathrm{BC}_…

math.RT2014

A family of representations of the affine Lie superalgebra $gl_{m ∣ n} (C)$

Yongjie Wang, Hongjia Chen, Yun Gao

In this paper, we used the free fields of Wakimoto to construct a class of irreducible representations for the general linear Lie superalgebra $gl_{m ∣ n} (C)$ . Th…

math.RT2014★ 62 cited

Modules over the Heisenberg-Virasoro and $W (2, 2)$ algebras

Hongjia Chen, Xiangqian Guo

In this paper, we consider the modules for the Heisenberg-Virasoro algebra and the W algebra $W (2, 2)$ . We determine the modules whose restriction to the Cartan subalgebra (modulo c…

math.RA2013★ 14 cited

Universal central extensions of $s l_{m ∣ n}$ over $Z /2 Z$ -graded algebras

Hongjia Chen, Jie Sun

We study central extensions of the Lie superalgebra $s l_{m ∣ n} (A)$ , where $A$ is a $Z /2 Z$ -graded superalgebra over a commutative ring $K$ . The Steinberg Lie superalgebra $st_{m|n}(A…

math.RT2013★ 37 cited

Tensor product weight modules over the Virasoro algebra

Hongjia Chen, Xiangqian Guo, Kaiming Zhao

The tensor product of highest weight modules with intermediate series modules over the Virasoro algebra was discussed by Zhang [Z] in 1997. Since then the irreducibility problem fo…

math.QA2007★ 26 cited

Classification of Graded Left-symmetric Algebra Structures on Witt and Virasoro Algebras

Xiaoli Kong, Hongjia Chen, Chengming Bai

We find that a compatible graded left-symmetric algebra structure on the Witt algebra induces an indecomposable module of the Witt algebra with 1-dimensional weight spaces by its l…

math.QA2006★ 10 cited

Central extensions of Steinberg Lie superalgebras of small rank

Hongjia Chen, Yun Gao, Shikui Shang

It was shown by A.V.Mikhalev and I.A.Pinchuk in [MP] that the second homology group $H_2(\st)$ of the Steinberg Lie superalgebra $\st$ is trivial for $m + n \geq 5$ . In this paper, we…

math.QA2006★ 9 cited

B(0,N)-graded Lie superalgebras coordinatized by quantum tori

Hongjia Chen, Yun Gao, Shikui Shang

We use a fermionic extension of the bosonic module to obtain a class of B(0,N)-graded Lie superalgebras with nontrivial central extensions.

math.QA2006★ 9 cited

BC_N-graded Lie algebras arising from fermionic representations

Hongjia Chen, Yun Gao

We use fermionic representations to obtain a class of BC $_{_{N}}$ -graded Lie algebras coordinatized by quantum tori with nontrivial central extensions.

Finite dimensional irreducible representations of the nullity 2 centreless core g2n,ρ​(Cq​)

A family of representations of the affine Lie superalgebra glm∣n​​(C)

Modules over the Heisenberg-Virasoro and W(2,2) algebras

Universal central extensions of slm∣n​ over Z/2Z-graded algebras