Presents a new construction of irreducible modules in toroidal sl2, highlighting implications for representation theory.
In this paper, we present a new free field(-like) construction of irreducible modules for toroidal π°π© 2 with finite dimensional weight spaces and trivial central action. To this end, we also determine the irreducibility of certain Verma modules for generalized Takiff algebras associated to π°π© 2 .
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Feng et al. (2026) studied this question.
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