{"language":[{"iso":"eng"}],"user_id":"52730","_id":"64275","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>We explain by elementary means why the existence of a discrete series representation\r\nof a real reductive group <jats:italic>G</jats:italic> implies the existence of a compact Cartan subgroup of <jats:italic>G</jats:italic>. The presented approach has the potential to generalize to real spherical spaces.</jats:p>","lang":"eng"}],"publication":"Journal für die reine und angewandte Mathematik (Crelles Journal)","type":"journal_article","doi":"10.1515/crelle-2021-0063","title":"Ellipticity and discrete series","volume":2022,"author":[{"full_name":"Krötz, Bernhard","last_name":"Krötz","first_name":"Bernhard"},{"first_name":"Job J.","last_name":"Kuit","full_name":"Kuit, Job J."},{"first_name":"Eric M.","full_name":"Opdam, Eric M.","last_name":"Opdam"},{"first_name":"Henrik","full_name":"Schlichtkrull, Henrik","last_name":"Schlichtkrull"}],"date_created":"2026-02-19T13:27:22Z","publisher":"Walter de Gruyter GmbH","date_updated":"2026-02-19T13:27:34Z","page":"109-119","intvolume":"      2022","citation":{"bibtex":"@article{Krötz_Kuit_Opdam_Schlichtkrull_2021, title={Ellipticity and discrete series}, volume={2022}, DOI={<a href=\"https://doi.org/10.1515/crelle-2021-0063\">10.1515/crelle-2021-0063</a>}, number={782}, journal={Journal für die reine und angewandte Mathematik (Crelles Journal)}, publisher={Walter de Gruyter GmbH}, author={Krötz, Bernhard and Kuit, Job J. and Opdam, Eric M. and Schlichtkrull, Henrik}, year={2021}, pages={109–119} }","short":"B. Krötz, J.J. Kuit, E.M. Opdam, H. Schlichtkrull, Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2022 (2021) 109–119.","mla":"Krötz, Bernhard, et al. “Ellipticity and Discrete Series.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2022, no. 782, Walter de Gruyter GmbH, 2021, pp. 109–19, doi:<a href=\"https://doi.org/10.1515/crelle-2021-0063\">10.1515/crelle-2021-0063</a>.","apa":"Krötz, B., Kuit, J. J., Opdam, E. M., &#38; Schlichtkrull, H. (2021). Ellipticity and discrete series. <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2022</i>(782), 109–119. <a href=\"https://doi.org/10.1515/crelle-2021-0063\">https://doi.org/10.1515/crelle-2021-0063</a>","ama":"Krötz B, Kuit JJ, Opdam EM, Schlichtkrull H. Ellipticity and discrete series. <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>. 2021;2022(782):109-119. doi:<a href=\"https://doi.org/10.1515/crelle-2021-0063\">10.1515/crelle-2021-0063</a>","ieee":"B. Krötz, J. J. Kuit, E. M. Opdam, and H. Schlichtkrull, “Ellipticity and discrete series,” <i>Journal für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2022, no. 782, pp. 109–119, 2021, doi: <a href=\"https://doi.org/10.1515/crelle-2021-0063\">10.1515/crelle-2021-0063</a>.","chicago":"Krötz, Bernhard, Job J. Kuit, Eric M. Opdam, and Henrik Schlichtkrull. “Ellipticity and Discrete Series.” <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2022, no. 782 (2021): 109–19. <a href=\"https://doi.org/10.1515/crelle-2021-0063\">https://doi.org/10.1515/crelle-2021-0063</a>."},"year":"2021","issue":"782","publication_identifier":{"issn":["0075-4102","1435-5345"]},"publication_status":"published"}