• Corpus ID: 246036002

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}
}

• Marcela Guerrini, I. Kashuba, +2 authors Fernando Junior Santos
• Published 19 January 2022
• Mathematics

. 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 Verma modules.