Zobrazeno 1 - 10
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pro vyhledávání: '"Hengfei Lu"'
Autor:
Hengfei Lu
Publikováno v:
Journal of Number Theory. 233:261-284
Let F be a local field of characteristic zero. Let μ be a good character of GL p ( F ) × GL p + 1 ( F ) . We study the generalized linear period problem for the pair ( G , H p , p + 1 ) = ( GL 2 p + 1 ( F ) , GL p ( F ) × GL p + 1 ( F ) ) and we p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d642a4c62880e1fc33657ffd5628133
https://doi.org/10.1016/j.jnt.2021.06.010
https://doi.org/10.1016/j.jnt.2021.06.010
Autor:
HENGFEI LU
Publikováno v:
Transformation Groups. 28:853-866
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9adf8eeff84f6356948a5a02f9e2d70f
https://doi.org/10.1007/s00031-022-09713-z
https://doi.org/10.1007/s00031-022-09713-z
Autor:
Hengfei Lu
Publikováno v:
Forum Mathematicum. 33:321-337
This paper studies the Prasad conjecture for the special orthogonal group SO 3 , 3 \mathrm{SO}_{3,3} . Then we use the local theta correspondence between Sp 4 \mathrm{Sp}_{4} and O ( V ) \mathrm{O}(V) to study the Sp 4 \mathrm{Sp}_{4} -distinctio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5591c5b7d734f76b9d6bec0ab6585b34
https://doi.org/10.1515/forum-2020-0184
https://doi.org/10.1515/forum-2020-0184
Autor:
Hengfei Lu
Publikováno v:
Algebra & Number Theory. 14:2417-2480
We use the theta correspondence between GSp4(E) and GO(V) to study the GSp4-distinction problems over a quadratic extension E∕F of nonarchimedean local fields of characteristic 0. With a similar strategy, we investigate the distinction problem for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ba0ac052b33df0ccea2b655cfc0f8d6
https://doi.org/10.2140/ant.2020.14.2417
https://doi.org/10.2140/ant.2020.14.2417
Autor:
Hengfei Lu
Publikováno v:
Mathematische Zeitschrift. 298:497-519
In this paper, we use the regularized quaternionic Siegel–Weil formula to deal with the $$\mathrm {PGSp}_{1,1}({\mathbb {A}})$$ -period problem for a cuspidal representation $$\tau $$ of $$\mathrm {PGSp}_4({\mathbb {A}}_E)$$ , where E/F is a quadra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dec0f350ba838b6ae134a9f0870feb62
https://doi.org/10.1007/s00209-020-02607-4
https://doi.org/10.1007/s00209-020-02607-4
Autor:
Hengfei Lu
Publikováno v:
Journal of Number Theory
We will give a proof to the Prasad conjectures for $U_2$, $SO_4$ and $Sp_4$ over a quadratic field extension.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::202af38ac92ea4a797c850c64b0d6376
https://doi.org/10.1016/j.jnt.2019.04.002
https://doi.org/10.1016/j.jnt.2019.04.002
Autor:
Hengfei Lu
Publikováno v:
Journal of Pure and Applied Algebra. 226:106870
We prove the vanishing of z -eigen distributions on a quasi-split real reductive group which change according to a non-degenerate character under the left action of the unipotent radical of the Borel subgroup, and are equivariant under the right acti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::899fe932e5f2d3716dee63d76d0da284
https://doi.org/10.1016/j.jpaa.2021.106870
https://doi.org/10.1016/j.jpaa.2021.106870
Autor:
Hengfei Lu
We use the theta lifts between Mp(2) and PD to study the distinction problems for the pair (Mp(2,E), SL(2,F )), where E is a quadratic field extension over a nonarchimedean local field F of characteristic zero and D is a quaternion algebra. With a si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc3b99b850604a84a29b29e5952183d6
http://arxiv.org/abs/1905.07928
http://arxiv.org/abs/1905.07928
Autor:
Hengfei Lu
We use the local theta correspondences between the quaternionic Hermitian groups and the quaternionic skew-Hermitian groups to understand the distinction problem for the symmetric pair SL(2,E)/SL(1,D), where E is a quadratic field extension of a nona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af8c7bff22faf8052f3ee1c8c31c7cc0
Autor:
Hengfei Lu
We use relations between the base change representations and theta lifts, to give a new proof to the local period problems of SL(2) over a nonarchimedean quadratic field extension E/F. Then we will verify the Prasad conjecture for SL(2). With a simil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24ed7998c9061867121882d506f540bf