# 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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