The generalized doubling method: (𝑘,𝑐) models

Autor: Yuanqing Cai, Solomon Friedberg, Dmitry Gourevitch, Eyal Kaplan

Publikováno v: Proceedings of the American Mathematical Society.

One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called ( k , c ) (k,c) models, for local components of generalized Speh representations. We construct a family of ( k , c ) (k,c) repre

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::54dcfe80f75122d8ea56fae499e5f11b
https://doi.org/10.1090/proc/16370

Local descent to quasi-split even general spin groups

Autor: Eyal Kaplan, Jing Feng Lau, Baiying Liu

Publikováno v: Mathematische Zeitschrift. 303

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dac2f8499f73f4f33cf837490384bb1f
https://doi.org/10.1007/s00209-023-03227-4

Rankin–Selberg Integrals andL-Functions for Covering Groups of General Linear Groups

Autor: Eyal Kaplan

Publikováno v: International Mathematics Research Notices.

Let ${\operatorname {GL}}_c^{(m)}$ be the covering group of ${\operatorname {GL}}_c$, obtained by restriction from the $m$-fold central extension of Matsumoto of the symplectic group. We introduce a new family of Rankin–Selberg integrals for repres

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fde41a1137b8d360ceda627751238696
https://doi.org/10.1093/imrn/rnac201

Non-homogeneity of quotients of Prikry forcings

Autor: Eyal Kaplan, Moti Gitik

Publikováno v: Archive for Mathematical Logic. 58:649-710

We study non-homogeneity of quotients of Prikry and tree Prikry forcings with non-normal ultrafilters over some natural distributive forcing notions.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3768ca16cb6fb03b3b3df31a1d0e477e
https://doi.org/10.1007/s00153-019-00659-w

A Godement-Jacquet type integral and the metaplectic Shalika model

Autor: Jan Frahm, Eyal Kaplan

Publikováno v: Frahm, J & Kaplan, E 2019, ' A Godement-Jacquet type integral and the metaplectic Shalika model ', American Journal of Mathematics, vol. 141, no. 1, pp. 219-282 . https://doi.org/10.1353/ajm.2019.0005

We present a novel integral representation for a quotient of global automorphic L-functions, the symmetric square over the exterior square. The pole of this integral characterizes a period of a residual representation of an Eisenstein series. As such

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::155c0dd30a216f190264b15e1f783f4f
https://pure.au.dk/portal/da/publications/a-godementjacquet-type-integral-and-the-metaplectic-shalika-model(c8811a54-3813-4ff0-beb4-6186eb5a84d1).html