Generic transfer for general spin groups
Asgari, Mahdi ; Shahidi, Freydoon
Duke Math. J., Tome 131 (2006) no. 1, p. 137-190 / Harvested from Project Euclid
We prove Langlands functoriality for the generic spectrum of general spin groups (both odd and even). Contrary to other recent instances of functoriality, our resulting automorphic representations on the general linear group are not self-dual. Together with cases of classical groups, this completes the list of cases of split reductive groups whose $L$ -groups have classical derived groups. The important transfer from $\mbox{\rm GSp}_{4}$ to $\mbox{\rm GL}_{4}$ follows from our result as a special case
Publié le : 2006-03-15
Classification:  11F70,  11R42,  22E50,  22E55
@article{1141136438,
     author = {Asgari, Mahdi and Shahidi, Freydoon},
     title = {Generic transfer for general spin groups},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 137-190},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1141136438}
}
Asgari, Mahdi; Shahidi, Freydoon. Generic transfer for general spin groups. Duke Math. J., Tome 131 (2006) no. 1, pp.  137-190. http://gdmltest.u-ga.fr/item/1141136438/