## Duke Mathematical Journal

### Generic transfer for general spin groups

#### Abstract

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

#### Article information

Source
Duke Math. J., Volume 132, Number 1 (2006), 137-190.

Dates
First available in Project Euclid: 28 February 2006

https://projecteuclid.org/euclid.dmj/1141136438

Digital Object Identifier
doi:10.1215/S0012-7094-06-13214-3

Mathematical Reviews number (MathSciNet)
MR2219256

Zentralblatt MATH identifier
1099.11028

#### Citation

Asgari, Mahdi; Shahidi, Freydoon. Generic transfer for general spin groups. Duke Math. J. 132 (2006), no. 1, 137--190. doi:10.1215/S0012-7094-06-13214-3. https://projecteuclid.org/euclid.dmj/1141136438

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