2025/06/10 by Hongjia Chen, Chen, Hongjia, Dashu Xu +1
Mathematics · #Algebraic structures and combinatorial models #Rings, Modules, and Algebras #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.2506.08794
In this paper, we construct a novel class of simple modules for the W-algebra W(2,2). Our approach involves taking tensor products of finitely many non-weight simple modules Ω(λ,α,h) with an arbitrary simple restricted module. We provide a necessary and sufficient condition for these modules to be simple, and subsequently determine their isomorphism classes. Through a comparative analysis with other known simple modules in the literature, we establish that these constructed modules are generically new.