A simple construction of stein’s complementary series representations

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5 Scopus citations


We given an elementary construction of Stein’s complementary series for GL(2n) over an arbitrary local field F, and determine their restrictions to the “mirabolic” subgroup P2n ≈ GL(2n − 1, F)∝F2n − 1. Taken together with the results in [S], this allows one to calculate the adduced representation An for an arbitrary irreducible, unitary representation Σ of GL(n, C).

Original languageAmerican English
Pages (from-to)257-266
Number of pages10
JournalProceedings of the American Mathematical Society
Issue number1
StatePublished - Jan 1990
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


  • Adduced representation
  • Stein’s complementary series


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