Title of article
Strong exponent bounds for the local Rankin-Selberg convolution
Author/Authors
Bushnell, Colin J. no Affiliation , Henniart, G. no Affiliation
Pages
25
From page
143
To page
167
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
Serial Year
2017
Record number
2511143
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