An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split \(\text{SO}_{2n} \times \text{GL}_n\)
From MaRDI portal
Publication:982531
DOI10.1016/j.jnt.2010.02.004zbMath1200.11035OpenAlexW2093285790MaRDI QIDQ982531
Publication date: 7 July 2010
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2010.02.004
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items (6)
On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\) ⋮ The unramified computation of a Shimura integral for \(\mathrm{SL}(2)\times \mathrm{GL}(2)\) ⋮ Complementary results on the Rankin-Selberg gamma factors of classical groups ⋮ The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\) ⋮ On the gcd of local Rankin–Selberg integrals for even orthogonal groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Explicit constructions of automorphic \(L\)-functions
- On \(L\)-functions and intertwining operators for unitary groups
- Identities for classical group characters of nearly rectangular shape
- Lectures on automorphic \(L\)-functions
- Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
- On Euler Products and the Classification of Automorphic Representations I
- On holomorphic representations of symplectic groups
- On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields
- L-Functions for SOn x GLk.
- Lie Group Representations and Harmonic Polynomials of a Matrix Variable
- A generalization of the Littlewood-Richardson rule
- Linear algebraic groups.
This page was built for publication: An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split \(\text{SO}_{2n} \times \text{GL}_n\)
