Generalized Imaginary Verma and Wakimoto modules

Autor:	Guerrini, Marcela, Kashuba, Iryna, Morales, Oscar, de Oliveira, André, Santos, Fernando Junior
Rok vydání:	2022
Předmět:	Mathematics - Representation Theory 17B10 17B67 17B69
Druh dokumentu:	Working Paper
Popis:	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. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.07617 Zobrazit plný text záznamu View this record from Arxiv