Journal
PACIFIC JOURNAL OF MATHEMATICS
Volume 290, Issue 1, Pages 199-230Publisher
PACIFIC JOURNAL MATHEMATICS
DOI: 10.2140/pjm.2017.290.199
Keywords
automorphic representations; metaplectic groups
Categories
Funding
- Simons Foundations [35952]
- Young Investigator Grant [H98230-16-1-0312]
Ask authors/readers for more resources
We had previously constructed a metaplectic tensor product of automorphic representations of covers of GL(r). To be precise, let M = GL(r1) x . . . x GL(rk) subset of GL(r) be a Levi subgroup of GL(r), where r = r(1) + . . . + r(k), and (M) over tilde its metaplectic preimage in the n-fold metaplectic cover (GL) over tilde (r) of GL(r). For automorphic representations pi(1), . . . , pi(k) of (GL) over tilde (r1). (A), . . . , (GL) over tilde (rk) (A), we had constructed (under certain technical assumptions, which are always satisfied when n = 2) an automorphic representation pi of (M) over tilde that can be considered as the tensor product of the representations pi(1), . . . , pi(k). Here we significantly simplify and generalize our previous construction without the technical assumptions mentioned above.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available