Functorial Products for GL 2 × GL 3 and the Symmetric Cube for GL 2
نویسندگان
چکیده
منابع مشابه
A Cuspidality Criterion for the Functorial Product on Gl(2)×gl(3), with a Cohomological Application
A strong impetus for this paper came, at least for the first author, from a question of Avner Ash, asking whether one can construct non-selfdual, nonmonomial cuspidal cohomology classes for suitable congruence subgroups Γ of SL(n,Z), say for n = 6. Such a construction, in special examples, has been known for some time for n = 3 ([AGG1984], [vGT1994], [vGKTV1997], [vGT2000]); it is of course not...
متن کاملBounds for GL ( 3 ) × GL ( 2 ) L - functions and GL ( 3 ) L - functions
In this paper, we will give the subconvexity bounds for self-dual GL(3) L-functions in the t aspect as well as subconvexity bounds for self-dual GL(3) × GL(2) L-functions in the GL(2) spectral aspect.
متن کاملA Cuspidality Criterion for the Functorial Product on GL(2) times GL (3), with a Cohomological Application
A strong impetus for this paper came, at least for the first author, from a question of Avner Ash, asking whether one can construct non-self-dual, nonmonomial cuspidal cohomology classes for suitable congruence subgroups Γ of SL(n,Z), say for n = 6. Such a construction, in special examples, has been known for some time for n = 3 (see [2, 34, 35, 36]); it is of course not possible for n = 2. One...
متن کاملThe Global Dimension of Schur Algebras for Gl 2 and Gl 3
Abstract. We first define the notion of good filtration dimension and Weyl filtration dimension in a quasi-hereditary algebra. We calculate these dimensions explicitly for all irreducible modules in SL2 and SL3. We use these to show that the global dimension of a Schur algebra for GL2 and GL3 is twice the good filtration dimension. To do this for SL3, we give an explicit filtration of the modul...
متن کاملL-functions for Gsp 4 × Gl 2 in the Case of High Gl 2 Conductor
Abstract. Furusawa [5] has given an integral representation for the degree 8 Lfunction of GSp 4 × GL2 and has carried out the unramified calculation. The local p-adic zeta integrals were calculated in the work [6] under the assumption that the GSp 4 representation π is unramified and the GL2 representation τ has conductor p. In the present work we generalize to the case where the GL2 representa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Mathematics
سال: 2002
ISSN: 0003-486X
DOI: 10.2307/3062134