# Glasnik matematički,Vol. 55 No. 2, 2020.

Izvorni znanstveni članak
https://doi.org/10.3336/gm.55.2.04

On representations of reductive $p$--adic groups over $\mathbb Q$--algebras

Goran Muić ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia

 Puni tekst: engleski, pdf (275 KB) str. 203-235 preuzimanja: 74* citiraj APA 6th EditionMuić, G. (2020). On representations of reductive $p$--adic groups over $\mathbb Q$--algebras. Glasnik matematički, 55 (2), 203-235. https://doi.org/10.3336/gm.55.2.04 MLA 8th EditionMuić, Goran. "On representations of reductive $p$--adic groups over $\mathbb Q$--algebras." Glasnik matematički, vol. 55, br. 2, 2020, str. 203-235. https://doi.org/10.3336/gm.55.2.04. Citirano 20.10.2021. Chicago 17th EditionMuić, Goran. "On representations of reductive $p$--adic groups over $\mathbb Q$--algebras." Glasnik matematički 55, br. 2 (2020): 203-235. https://doi.org/10.3336/gm.55.2.04 HarvardMuić, G. (2020). 'On representations of reductive $p$--adic groups over $\mathbb Q$--algebras', Glasnik matematički, 55(2), str. 203-235. https://doi.org/10.3336/gm.55.2.04 VancouverMuić G. On representations of reductive $p$--adic groups over $\mathbb Q$--algebras. Glasnik matematički [Internet]. 2020 [pristupljeno 20.10.2021.];55(2):203-235. https://doi.org/10.3336/gm.55.2.04 IEEEG. Muić, "On representations of reductive $p$--adic groups over $\mathbb Q$--algebras", Glasnik matematički, vol.55, br. 2, str. 203-235, 2020. [Online]. https://doi.org/10.3336/gm.55.2.04

Sažetak
In this paper we study certain category of smooth modules for reductive $p$--adic groups analogous to the usual smooth complex representations but with the field of complex numbers replaced by a $\mathbb Q$--algebra. We prove some fundamental results in these settings, and as an example we give a classification of admissible unramified irreducible representations using the reduction to the complex case.

Hrčak ID: 248664

Posjeta: 157 *