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Generalized Imaginary Verma and Wakimoto modules
- Publication Year :
- 2022
-
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.<br />Comment: 20 pages
- Subjects :
- Mathematics - Representation Theory
17B10, 17B67, 17B69
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2201.07617
- Document Type :
- Working Paper