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arXiv · 2201.07617

Generalized Imaginary Verma and Wakimoto modules

Marcela Guerrini·Iryna Kashuba·Oscar Morales·André de Oliveira·Fernando Junior Santos
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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.

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Marcela Guerrini, Iryna Kashuba, Oscar Morales, André de Oliveira, Fernando Junior Santos. 2022-01-19. Generalized Imaginary Verma and Wakimoto modules. https://arxiv.org/abs/2201.07617

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