Generalized Imaginary Verma and Wakimoto modules
Representation Theory
2022-01-20 v1
Abstract
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 imposed restrictions on inducing modules. We also define generalized Imaginary Wakimoto modules which provide an explicit realization for generic generalized Imaginary Verma modules.
Cite
@article{arxiv.2201.07617,
title = {Generalized Imaginary Verma and Wakimoto modules},
author = {Marcela Guerrini and Iryna Kashuba and Oscar Morales and André de Oliveira and Fernando Junior Santos},
journal= {arXiv preprint arXiv:2201.07617},
year = {2022}
}
Comments
20 pages