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arXiv · 2605.18000

Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$

Igor Burban·Yuriy Drozd
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Abstract

In this article we study the principal block of the category of real Harish-Chandra modules for the group $\mathsf{SL}_2(\RR)$ 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.

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BibTeXRIS

Igor Burban, Yuriy Drozd. 2026-05-18. Representation theory of the real Gelfand order and real Harish-Chandra modules for $\mathsf{SL}_2(\mathbbm{R})$. https://arxiv.org/abs/2605.18000

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