57 citations · 259 across the 27 of their papers we have counts for
29 papers
The tensor category for W(2,2)-vertex algebra
Drazen Adamovic, Mingjie Peng, Gordan Radobolja +1
This paper studies the category of grading-restricted -cofinite generalized modules for the vertex operator algebra associated to the -algebra . We fi…
Tensor category of -orbifold of Heisenberg vertex operator algebra and its applications
Drazen Adamovic, Xingjun Lin, Jinwei Yang
In this paper, we prove the category of finite length modules for the -orbifold of the Heisenberg vertex operator algebra whose simple composition factors ar…
super Virasoro tensor categories
Thomas Creutzig, Robert McRae, Florencia Orosz Hunziker +1
We show that the category of -cofinite modules for the universal super Virasoro vertex operator superalgebra at any central charge is locally fini…
Ribbon categories of weight modules for affine at admissible levels
Thomas Creutzig, Robert McRae, Jinwei Yang
We show that the braided tensor category of finitely-generated weight modules for the simple affine vertex operator algebra of at any admis…
Semisimplicity of module categories of certain affine vertex operator superalgebras
Dražen Adamović, Chunrui Ai, Xingjun Lin +1
In this paper, we show Kazhdan-Lusztig categories, that is, the categories of lower bounded generalized weight modules for certain affine vertex operator superalgebras that are loc…
The non-semisimple Kazhdan-Lusztig category for affine at admissible levels
Robert McRae, Jinwei Yang
We show that Kazhdan and Lusztig's category of modules for the affine Lie algebra at an admissible level , equivalently the c…
Rigid tensor structure on big module categories for some -(super)algebras in type
Thomas Creutzig, Robert McRae, Jinwei Yang
We establish rigid tensor category structure on finitely-generated weight modules for the subregular -algebras of at levels (the $\mathc…
The level two Zhu algebra for the Heisenberg vertex operator algebra
Darlayne Addabbo, Katrina Barron
We determine the level two Zhu algebra for the Heisenberg vertex operator algebra for any choice of conformal element. We do this using only the following information for :…
An -type tensor category for the Virasoro algebra at central charge and applications
Robert McRae, Jinwei Yang
Let be the vertex algebraic braided tensor category of finite-length modules for the Virasoro Lie algebra at central charge whose composition factors are th…
Ribbon tensor structure on the full representation categories of the singlet vertex algebras
Thomas Creutzig, Robert McRae, Jinwei Yang
We show that the category of finite-length generalized modules for the singlet vertex algebra , , is equal to the category $\mathcal{O}_{\mathc…
Structure of Virasoro tensor categories at central charge for integers
Robert McRae, Jinwei Yang
Let be the category of finite-length central-charge- modules for the Virasoro Lie algebra whose composition factors are irreducible quotients of reducible Verma…
Tensor structure on the Kazhdan-Lusztig category for affine
Thomas Creutzig, Robert McRae, Jinwei Yang
We show that the Kazhdan-Lusztig category of level- finite-length modules with highest-weight composition factors for the affine Lie superalgebra $\widehat{\mathfrak{gl}(…
On ribbon categories for singlet vertex algebras
Thomas Creutzig, Robert McRae, Jinwei Yang
We construct two non-semisimple braided ribbon tensor categories of modules for each singlet vertex operator algebra , . The first category consists of all…
Direct limit completions of vertex tensor categories
Thomas Creutzig, Robert McRae, Jinwei Yang
We show that direct limit completions of vertex tensor categories inherit vertex and braided tensor category structures, under conditions that hold for example for all known Viraso…
Tensor categories of affine Lie algebras beyond admissible levels
Thomas Creutzig, Jinwei Yang
We show that if is a vertex operator algebra such that all the irreducible ordinary -modules are -cofinite and all the grading-restricted generalized Verma modules for…
Tensor Categories arising from the Virasoro Algebra
Thomas Creutzig, Cuipo Jiang, Florencia Orosz Hunziker +2
We show that there is a braided tensor category structure on the category of -cofinite modules for the (universal or simple) Virasoro vertex operator algebras of arbitrary cen…
The vertex algebras and
Drazen Adamovic, Thomas Creutzig, Naoki Genra +1
The vertex algebras and introduced in [2] are very interesting relatives of the famous triplet algebras of logarithmic CFT. The algebra (respectively,…
Semilinear automorphisms of classical groups and quivers
Jinwei Yang, Zhiwei Yun
For a classical group over a field together with a finite-order automorphism that acts compatibly on , we describe the fixed point subgroup of on and the eig…
Higher level Zhu algebras and modules for vertex operator algebras
Katrina Barron, Nathan Vander Werf, Jinwei Yang
Motivated by the study of indecomposable, nonsimple modules for a vertex operator algebra , we study the relationship between various types of -modules and modules for the hi…
Braided tensor categories of admissible modules for affine Lie algebras
Thomas Creutzig, Yi-Zhi Huang, Jinwei Yang
Using the tensor category theory developed by Lepowsky, Zhang and the second author, we construct a braided tensor category structure with a twist on a semisimple category of modul…
Twisted representations of vertex operator algebras associated to affine Lie algebras
Jinwei Yang
In this paper, we prove the categories of lower bounded twisted modules of positive integer levels for simple vertex operator algebras associated with affine Lie algebras and gener…
Associative algebras for (logarithmic) twisted modules for a vertex operator algebra
Yi-Zhi Huang, Jinwei Yang
We construct two associative algebras from a vertex operator algebra and a general automorphism of . The first, called -twisted zero-mode algebra, is a subquotient of…
Vertex algebraic intertwining operators among generalized Verma modules for
Robert McRae, Jinwei Yang
We construct vertex algebraic intertwining operators among certain generalized Verma modules for and calculate the corresponding fusion rule…
Vertex algebras associated to abelian current algebras
Jinwei Yang
We construct a family of vertex algebras associated to the current algebra of finite-dimensional abelian Lie algebras along with their modules and logarithmic modules. We show this…