Irreducible constituents of principal series of \(SL_ n(\)k)

DOI10.1215/S0012-7094-81-04818-3zbMath0473.22010MaRDI QIDQ1158537

Stephen Gelbart, A. W. Knapp

Publication date: 1981

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

special linear groupirreducible constituentsL-packetunitary principal seriescontinuous unitary character

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (10)

The admissible dual of ${\rm SL}(N)$. I ⋮ Principal nilpotent orbits and reducible principal series ⋮ Unnamed Item ⋮ The degenerate principal series representations of exceptional groups of type \(E_7\) over \(p\)-adic fields ⋮ The degenerate principal series representations of exceptional groups of type \(E_6\) over \(p\)-adic fields ⋮ L-indistinguishability and R groups for the special linear group ⋮ Representations of reductive \(p\)-adic groups and of their distinguished cocompact subgroups ⋮ GEOMETRIC STRUCTURE IN THE TEMPERED DUAL OF SL_ℓ(F): TORAL CASE ⋮ The degenerate residual spectrum of quasi-split forms of $Spin_8$ associated to the Heisenberg parabolic subgroup ⋮ On liftings and cusp cohomology of arithmetic groups

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