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Generalized imaginary Verma and Wakimoto modules

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Autor(es):
Guerrini, Marcela ; Kashuba, Iryna ; Morales, Oscar ; de Oliveira, Andre ; Santos, Fernando Junior
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: Journal of Pure and Applied Algebra; v. 227, n. 7, p. 18-pg., 2023-07-01.
Resumo

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 unifies 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.(c) 2023 Elsevier B.V. All rights reserved. (AU)

Processo FAPESP: 21/14716-4 - Álgebras de Jordan: representações, homologia e geometria
Beneficiário:Iryna Kashuba
Modalidade de apoio: Auxílio à Pesquisa - Regular