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math.QA2022
On irreducibility of modules of Whittaker type: twisted modules and nonabelian orbifolds
Drazen Adamovic, Ching Hung Lam, Veronika Pedic Tomic +1
In arXiv:1811.04649, we extended the Dong-Mason theorem on irreducibility of modules for cyclic orbifold vertex algebras to the entire category weak modules and applied this result…
math.RT2022
Representations over diagrams of abelian categories I: Global structure and homological objects
Zhenxing Di, Liping Li, Li Liang +1
Representations over diagrams of abelian categories unify quite a few notions appearing widely in literature such as representations of categories, presheaves of modules over categ…
math.QA2022
Irreducible modules of toroidal Lie algebras arising from -coordinated modules of vertex algebras
Fulin Chen, Huansheng Li, Nina Yu
In this paper, for every , we introduce an extension of the 2-toroidal Lie algebra by certain derivations. Based on the -coordinated modules theory for vertex…