The tensor product of exceptional representations on the general linear group

DOI10.1016/S0012-9593(01)01075-8zbMath1005.20033OpenAlexW1991060862MaRDI QIDQ4329739

Anthony C. Kable

Publication date: 4 December 2002

Published in: Annales Scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2001_4_34_5_741_0

zbMATH Keywords

general linear groupslocal fieldstensor productsprincipal series representationsexceptional representationsparabolic inductionWhittaker functionalsmetaplectic covers

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Related Items (13)

Remarks on metaplectic tensor products for covers of \(\mathrm{GL}_r\) ⋮ Theta distinguished representations, inflation and the symmetric square \(L\)-function ⋮ The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\) ⋮ Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field ⋮ RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2) ⋮ Local metaplectic correspondence and applications ⋮ Local descent to quasi-split even general spin groups ⋮ The twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\) ⋮ Fourier coefficients for theta representations on covers of general linear groups ⋮ Twisted symmetric square \(L\)-functions for \(\mathrm {GL}_n\) and invariant trilinear forms ⋮ THE DOUBLE COVER OF ODD GENERAL SPIN GROUPS, SMALL REPRESENTATIONS, AND APPLICATIONS ⋮ Hecke \(L\)-functions and Fourier coefficients of covering Eisenstein series ⋮ Rankin-Selberg \(L\)-functions via good sections

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• The main involutions of the metaplectic group
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• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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