The Category of reduced imaginary Verma modules
Representation Theory
2023-07-11 v1
Abstract
For an arbitrary affine Lie algebra we study an analog of the category O for the natural Borel subalgebra and zero central charge. We show that such category is semisimple having the reduced imaginary Verma modules as its simple objects. This generalizes the result of Cox, Futorny, Misra in the case of affine sl(2).
Cite
@article{arxiv.2307.04306,
title = {The Category of reduced imaginary Verma modules},
author = {Juan Camilo Arias and Vyacheslav Futorny and André de Oliveira},
journal= {arXiv preprint arXiv:2307.04306},
year = {2023}
}