Abstract
We explicitly identify the structure of Jacquet modules of parabolically induced representations of even unitary groups and even general unitary groups over a p-adic field F of characteristic different than two. As an application, we obtain a classification of the strongly positive discrete series representations of those groups.
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Mathematics Subject Classification (2000)
The first author was supported by a National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (No. 2017R1C1B2010081). The second author was supported by the Croatian Science Foundation under project 9364.
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Acknowledgements
The first author would like to thank the organizers of the workshop on Representation theory of p-adic groups at IISER Pune, Professors Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone for their invitation and hospitality. The authors would also like to thank the referee for his/her careful reading of the paper and for helpful comments and suggestions.
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Kim, Y., Matić, I. (2019). Classification of Strongly Positive Representations of Even General Unitary Groups. In: Aubert, AM., Mishra, M., Roche, A., Spallone, S. (eds) Representations of Reductive p-adic Groups. Progress in Mathematics, vol 328. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-6628-4_5
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DOI: https://doi.org/10.1007/978-981-13-6628-4_5
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