Generalized Imaginary Verma and Wakimoto modules
@inproceedings{Guerrini2022GeneralizedIV, title={Generalized Imaginary Verma and Wakimoto modules}, author={Marcela Guerrini and Iryna Kashuba and Oscar Armando Hern'andez Morales and Andr{\'e} DE Oliveira and Fernando Junior Santos}, year={2022} }
. We develop a general technique of constructing new irreducible weight modules for any affine Kac-Moody algebra using the parabolic induction, in the case when the Levi factor of a parabolic subalgebra is infinite-dimensional and the central charge is nonzero. Our approach uniforms and generalizes all previously known results with im-posed restrictions on inducing modules. We also define generalized Imaginary Wakimoto modules which provide an explicit realization for generic generalized Imaginary…
One Citation
Affine Lie algebras representations induced from Whittaker modules
- Mathematics
- 2022
. We use induction from parabolic subalgebras with infinite-dimensional Levi factor to construct new families of irreducible representations for arbitrary Affine Kac-Moody algebra. Our first construction…
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