Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Marcela Hanzer"'
Autor:
Petar Bakic, Marcela Hanzer
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2021:63-117
We describe explicitly the Howe correspondence for the symplectic-orthogonal and unitary dual pairs over a nonarchimedean local field of characteristic zero. More specifically, for every irreducible admissible representation of these groups, we find
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::135031d0b3e8d9f4e717fb4551f28b2d
https://doi.org/10.1515/crelle-2021-0006
https://doi.org/10.1515/crelle-2021-0006
Autor:
Marcela Hanzer
We complete our previous results on the generalized injectivity conjecture for classical p –adic groups. In our previous work, we proved that any irreducible generic subquotient of a standard representation parabolically induced from a maximal para
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::49f46554e8de4b3733f6bdd5602dc38c
https://doi.org/10.1016/j.jpaa.2019.04.019
https://doi.org/10.1016/j.jpaa.2019.04.019
Autor:
Marcela Hanzer
Publikováno v:
manuscripta mathematica. 155:229-302
We explicitly (in terms of Langlands parameters) describe the image of the degenerate Eisenstein series in the case of a symplectic group. We study these series for any maximal parabolic subgroup and any Grossencharacter. We do that by an explicit an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c86dcf746900bc7d71986bc7c53126e
https://doi.org/10.1007/s00229-017-0927-6
https://doi.org/10.1007/s00229-017-0927-6
Autor:
Petar Bakic, Marcela Hanzer
In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on all levels for any tower of odd orthogonal groups. We also describe pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae75662fd5ca498354e53f2a70c7d694
http://arxiv.org/abs/1902.07357
http://arxiv.org/abs/1902.07357
Autor:
Marcela Hanzer
In this short note, we completely describe a parabolically induced representation $$Ind_P^{Sp\widetilde{(2n,F)}}(\sigma)$$ , in particular, its length and multiplicities. Here, $$Sp\widetilde{(2n,F)}$$ is a p-adic metaplectic group, and σ is a discr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d7ab3e304a3f1607b1e45722aa6c403
https://doi.org/10.1007/s11856-019-1860-z
https://doi.org/10.1007/s11856-019-1860-z
Autor:
Marcela Hanzer, Gordan Savin
We describe poles and the corresponding residual automorphic representations of Eisenstein series attached to maximal parabolic subgroups whose unipotent radicals admit Jordan algebra structure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3cdcc3c694e44ea532ebb1d602e3d7cf
Autor:
Marcela Hanzer
Publikováno v:
Glasnik matematički
Volume 50
Issue 2
Volume 50
Issue 2
In this paper we determine the poles (in the right half-plane) with their order of the degenerate Eisenstein series attached to the representations induced from a character of the Siegel maximal parabolic subgroup of a symplectic group. We explicitly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a22d11f1d939e73b7a4d4aee9bd3462
https://doi.org/10.3336/gm.50.2.04
https://doi.org/10.3336/gm.50.2.04
Autor:
Marcela Hanzer, Goran Muić
Publikováno v:
Journal of Number Theory. 146:310-342
In this paper we obtain a complete description of the images and poles of the degenerate Eisenstein series attached to maximal parabolic subgroups of Sp 4 ( A ) , where A is the ring of adeles of Q .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f8d79925107458ed08bef07e9591b6a
https://doi.org/10.1016/j.jnt.2013.11.002
https://doi.org/10.1016/j.jnt.2013.11.002
Autor:
Marcela Hanzer, Goran Muić
Publikováno v:
American Journal of Mathematics. 137:907-951
C Abstract. In this paper we determine poles in the right-half plane and images of degenerate Eisenstein series for GLn(AQ) induced from a character on a maximal parabolic subgroup. We apply those results to determine poles of degenerate Eisenstein s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd335830f6094694a6e88b6aeedfe916
https://doi.org/10.1353/ajm.2015.0029
https://doi.org/10.1353/ajm.2015.0029
Autor:
Marcela Hanzer
Publikováno v:
Glasnik matematički
Volume 46
Issue 1
Volume 46
Issue 1
Let (G,G ' ) denote a dual reductive pair consisting of two unitary groups over a nonarchimedean local field of characteristic zero. We relate the reducibility of the parabolically induced representations of these two groups if the inducing data is c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58d6d78d6606d2687945c753db270c34
https://doi.org/10.3336/gm.46.1.12
https://doi.org/10.3336/gm.46.1.12