New simple \(\widehat{\mathfrak{sl}}_2\)-modules from Weyl algebra modules

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

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Irreducible \(A_1^{(1)}\)-modules from modules over two-dimensional non-abelian Lie algebra
Localization of free field realizations of affine Lie algebras
An application of \(U(\mathfrak g)\)-bimodules to representation theory of affine Lie algebras
Irreducible Virasoro modules from irreducible Weyl modules
An application of Lie superalgebras to affine Lie algebras
\(\mathcal{U}(\mathfrak{h})\)-free modules and coherent families
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A new family of irreducible, integrable modules for affine Lie algebras
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\(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\)
New representations of affine Kac-Moody algebras
Simple modules over the Lie algebras of divergence zero vector fields on a torus
New irreducible modules for Heisenberg and affine Lie algebras
Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
\(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\)
Characterization of Simple Highest Weight Modules
Parabolic sets of roots
Imaginary Verma Modules for Affine Lie Algebras
Simple Witt modules that are finitely generated over the cartan subalgebra
Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras

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