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math.QA2014★ 2 cited
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…
math.QA2009
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…
math.QA2008
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_…