19 citations · 27 across the 10 of their papers we have counts for
10 papers
Cluster algebra structure on the finite dimensional representations of for =2
Yan-Min Yang, Zhu-Jun Zheng
In this paper, we prove one case of the conjecture given by Hernandez and Leclerc\cite{HL0}. Specifically, we give a cluster algebra structure on the Grothendieck ring of a full su…
Non-abelian Extensions of Lie 2-algebras
Shaohan Chen, Yunhe Sheng, Zhujun Zheng
In this paper, we introduce the notion of derivations of Lie 2-algebras and construct the associated derivation Lie 3-algebra. We prove that isomorphism classes of non-abelian exte…
Higher Dimensional Homology Algebra V:Injective Resolutions and Derived 2-Functors in ($\cR$-2-Mod)
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will construct the injective resolution of any $\cR$-2-module, define the right derived 2-functor, and give some related properties of the derived 2-functor in ($…
Higher Dimensional Homology Algebra III:Projective Resolutions and Derived 2-Functors in (2-SGp)
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will define the derived 2-functor by projective resolution of any symmetric 2-group, and give some related properties of the derived 2-functor.
Higher Dimensional Homology Algebra IV:Projective Resolutions and Derived 2-Functors in ($\cR$-2-Mod)
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will construct the projective resolution of any $\cR$-2-module, define the derived 2-functor and give some related properties of the derived 2-functor.
Higher Dimensional Homology Algebra II:Projectivity
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we will prove that the 2-category (2-SGp) of symmetric 2-groups and 2-category ($\cR$-2-Mod) of $\cR$-2-modules(\cite{5}) have enough projective objects, respectivel…
2-Modules and the Representation of 2-Rings
Fang Huang, Shao-Han Chen, Wei Chen +1
In this paper, we develop 2-dimensional algebraic theory which closely follows the classical theory of modules. The main results are giving definitions of 2-module and the represen…
A Vertex Algebra Commutant for the -System and Howe pairs
Yan-Jun Chu, Fang Huang, Zhu-Jun Zheng
Analogue to commutants in the theory of associative algebras, one can construct a new subalgebra of vertex algebra known as a vertex algebra commutant. In this paper, for the adjoi…
Vertex Operator Algebra Analogue of Embedding into
Yan-Jun Chu, Zhu-Jun Zheng
Let and be the simple vertex operator algebras associated to untwisted affine Lie algebra and $\widehat{\mathbf g}_{E_…
Topological quantum field theory and crossing number
Zhujun Zheng, Ke Wu, Shikun Wang +1
In this paper, we construct a new topological quantum field theory of cohomological type and show that its partition function is a crossing number.