Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$
Representation Theory
2026-05-19 v1 Rings and Algebras
Abstract
In this article we study the principal block of the category of real Harish-Chandra modules for the group and relate it to the category of finite dimensional modules over the so-called real Gelfand order. We describe several distinguished classes of the corresponding indecomposable representations.
Keywords
Cite
@article{arxiv.2605.18000,
title = {Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$},
author = {Igor Burban and Yuriy Drozd},
journal= {arXiv preprint arXiv:2605.18000},
year = {2026}
}