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Classification of Strongly Positive Representations of Even General Unitary Groups

  • Yeansu KimEmail author
  • Ivan Matić
Chapter
Part of the Progress in Mathematics book series (PM, volume 328)

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.

Keywords

Tadić’s structure formula Jacquet modules Strongly positive representations 

Mathematics Subject Classification (2000)

20C11 11F70 

Notes

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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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of Mathematics EducationChonnam National UniversityGwangju CityKorea
  2. 2.Department of MathematicsUniversity of OsijekOsijekCroatia

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