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Parabolic induction and Jacquet modules of representations of O(2n,F)

Dubravka Ban

Puni tekst: engleski, pdf (2 MB) str. 147-185 preuzimanja: 303* citiraj
APA 6th Edition
Ban, D. (1999). Parabolic induction and Jacquet modules of representations of O(2n,F). Glasnik matematički, 34 (2), 147-185. Preuzeto s https://hrcak.srce.hr/6411
MLA 8th Edition
Ban, Dubravka. "Parabolic induction and Jacquet modules of representations of O(2n,F)." Glasnik matematički, vol. 34, br. 2, 1999, str. 147-185. https://hrcak.srce.hr/6411. Citirano 25.10.2021.
Chicago 17th Edition
Ban, Dubravka. "Parabolic induction and Jacquet modules of representations of O(2n,F)." Glasnik matematički 34, br. 2 (1999): 147-185. https://hrcak.srce.hr/6411
Harvard
Ban, D. (1999). 'Parabolic induction and Jacquet modules of representations of O(2n,F)', Glasnik matematički, 34(2), str. 147-185. Preuzeto s: https://hrcak.srce.hr/6411 (Datum pristupa: 25.10.2021.)
Vancouver
Ban D. Parabolic induction and Jacquet modules of representations of O(2n,F). Glasnik matematički [Internet]. 1999 [pristupljeno 25.10.2021.];34(2):147-185. Dostupno na: https://hrcak.srce.hr/6411
IEEE
D. Ban, "Parabolic induction and Jacquet modules of representations of O(2n,F)", Glasnik matematički, vol.34, br. 2, str. 147-185, 1999. [Online]. Dostupno na: https://hrcak.srce.hr/6411. [Citirano: 25.10.2021.]

Sažetak
For the sum of the Grothendieck groups of the categories of smooth finite length representations of O(2n, F) (resp., SO(2n, F)), n ≥ 0, (F a p-adic field), the structure of a module and a comodule over the sum of the Grothendieck groups of the categories of smooth finite length representations of GL(n, F), n ≥ 0, is achieved. The multiplication is defined in terms of parabolic induction, and the comultiplication in terms of Jacquet modules. Also, for even orthogonal groups, the combinatorial formula, which connects the module and comodule structures, is obtained.

Ključne riječi
Representations of p-adic groups; even orthogonal groups; special even orthogonal groups; parabolic induction; Jacquet modules

Hrčak ID: 6411

URI
https://hrcak.srce.hr/6411

Posjeta: 519 *