Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R)
I. Burban, Y. Drozd, ArXiv:2605.18000 (2026).
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Burban, IgorLibreCat;
Drozd, Yuriy
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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arXiv:2605.18000
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Burban I, Drozd Y. Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R). arXiv:260518000. Published online 2026.
Burban, I., & Drozd, Y. (2026). Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R). In arXiv:2605.18000.
@article{Burban_Drozd_2026, title={Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R)}, journal={arXiv:2605.18000}, author={Burban, Igor and Drozd, Yuriy}, year={2026} }
Burban, Igor, and Yuriy Drozd. “Representation Theory of the Real Gelfand Order and Real Harish-Chandra Modules for SL_2(R).” ArXiv:2605.18000, 2026.
I. Burban and Y. Drozd, “Representation theory of the real Gelfand order and real Harish-Chandra modules for SL_2(R),” arXiv:2605.18000. 2026.
Burban, Igor, and Yuriy Drozd. “Representation Theory of the Real Gelfand Order and Real Harish-Chandra Modules for SL_2(R).” ArXiv:2605.18000, 2026.
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