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Linear and Shalika local periods for the...

Matringe, Nadir...

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Linear and Shalika local periods for the mirabolic group, and some consequences by Matringe, Nadir ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	Using linear periods on the mirabolic subgroup of $GL(n,F)$, for $F$ a non archimedean local field, we give a list of the maximal Levi subgroups of $GL(n,F)$ which can distinguish a discrete series, and a generic representation. We also obtain the functional equation of the local exterior-square $L$-function of a generic representation of $GL(n,F)$ when $n=2m$ is even. Then we discuss the relation between Shalika models and local models for representations of $GL(2m,F)$. Finally we give a necessary and sufficient condition on the cuspidal representation $\rho$ for a generalised Steinberg representation $St_k(\rho)$ of $GL(2m,F)$ to have a local model.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1210.4307

Citation

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AMA 11th EditionReferences

Matringe, Nadir. Linear and Shalika local periods for the mirabolic group, and some consequences. Australian National University. July 27, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/5687

APA 7th EditionReferences

Matringe, Nadir. (2023). Linear and Shalika local periods for the mirabolic group, and some consequences. Australian National University. https://online.provdatabase.com/cite/5687

Chicago 17th EditionReferences

Matringe, Nadir. Linear and Shalika local periods for the mirabolic group, and some consequences. Australian National University. 2023. https://online.provdatabase.com/cite/5687

HarvardReferences

Matringe, Nadir. (2023). Linear and Shalika local periods for the mirabolic group, and some consequences. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5687. (Accessed 20 September 2024).

Harvard AustraliaReferences

Matringe, Nadir, 2023, Linear and Shalika local periods for the mirabolic group, and some consequences, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/5687>

MLA 9th EditionWorks Cited

Matringe, Nadir. Linear and Shalika local periods for the mirabolic group, and some consequences. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5687.

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