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math.QA2023
Howe duality in the toroidal setting
Fulin Chen, Xin Huang, Shaobin Tan
In this paper, we construct and study various dual pairs acting on the oscillator modules of the symplectic toroidal Lie algebras coordinated by irrational quantum tori. This exten…
math.QA2023
Vertex algebras and TKK algebras
Fulin Chen, Lingen Ding, Qing Wang
In this paper, we associate the TKK algebra with vertex algebras through twisted modules. Firstly, we prove that for any complex number ,…