Generic automorphic forms on SO(2n + 1): functorial lift to GL(2n), endoscopy, and base change
By D. Ginzburg, S. Rallis, D. Soudry. 2001
96 citations recorded by the source corpus.
Subfields: Biochemistry, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5fd277b045d5ba047138d30d01ae08871df39095
How researchers see this paper
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In Biochemistry
In Discrete Mathematics and Combinatorics
- F. Shahidi
- J. Cogdell
- M. Asgari
- Ralf Schmidt
- Henry H. Kim
- Abhishek Saha
- I. Piatetski-Shapiro
- Ameya Pitale
In Mathematical Physics
- F. Shahidi
- J. Cogdell
- M. Asgari
- Ralf Schmidt
- Henry H. Kim
- I. Piatetski-Shapiro
- Abhishek Saha
- Ameya Pitale
Citations in the corpus
- Functoriality for the classical groups (2004, methodology): “For the odd orthogonal group, the result takes the following form [13, 56].”
- Transfer of Siegel Cusp Forms of Degree 2 (2011, methodology): “Since Π4 is symplectic, we can apply Theorem 4 of [27].”
- Generic Transfer for General Spin Groups (2004, background): “The issue of whether the local components of the transfer at places in S are the “correct” ones (strong transfer) has been dealt with for classical groups thanks to the existence of the theory of descent from GLn to classical groups (see [16], [42]).”
- Functoriality for the quasisplit classical groups (2011, methodology): “Assuming the existence of functoriality, the global image has been analyzed in the papers of Ginzburg, Rallis, and Soudry using their method of descent [16, 42].”
- Local Coefficients as Mellin Transforms of Bessel Functions: Towards a General Stability (2002, background): “Strong transfer was later established in [13], as well as in [17].”
- Riemann's zeta function and beyond (2003, unknown): “This is connected to the local Langlands correspondence, proven recently by Harris and Taylor for GL(n) and by Jiang and Soudry for SO(2n + 1) (see [14, 57, 59, 62, 63, 65, 78, 101]).”