Representations of Reductive p-adic Groups pp 161-174 | Cite as

# Classification of Strongly Positive Representations of Even General Unitary Groups

## 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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