Title of article :
Strong exponent bounds for the local Rankin-Selberg convolution
Author/Authors :
Bushnell, Colin J. no Affiliation , Henniart, G. no Affiliation
Abstract :
Abstract. Let F be a non-Archimedean locally compact field. Let σ
and τ be finite-dimensional representations of the Weil-Deligne group of
F. We give strong upper and lower bounds for the Artin and Swan exponents of σ ⊗ τ in terms of those of σ and τ. We give a different lower
bound in terms of σ ⊗ σˇ and τ ⊗ τˇ. Using the Langlands correspondence,
Keywords :
Rankin-Selberg exponent , ocal Langlands correspondence , Weil-Deligne groups and representations , tensor products , Artin exponent , Swan exponent
Journal title :
Bulletin of the Iranian Mathematical Society
