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Unitary dual of $p$-adic $GL\left( n \right)$. Proof of Bernstein conjectures


Author: Marko Tadić
Journal: Bull. Amer. Math. Soc. 13 (1985), 39-42
MSC (1980): Primary 22E50
DOI: https://doi.org/10.1090/S0273-0979-1985-15355-8
MathSciNet review: 788387
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  • 1. J. N. Bernstein, P-invariant distributions on GL (N) and the classification of unitary representations of GL (N) (non-archimedean case), Lecture Notes in Math., vol 1041, Springer-Verlag, Berlin, 1983, pp. 50-102. MR 748505
  • 2. H. Jacquet, On the residual spectrum of GL (n), Lecture Notes in Math., vol. 1041, Springer-Verlag, Berlin, 1983, pp. 185-208. MR 748508
  • 3. F. Rodier, Représentations de GL (n, k) où k est un corps p-adique, Séminaire Bourbaki Exp. 587 (1982), Astérisque 92-93 (1982), 201-218. MR 689531
  • 4. J. Rogawski, Repesentations of GL (n) and division algebras over a p-adic field, Duke Math. J. 50 (1983), 161-196. MR 700135
  • 5. M. Tadić, The topology of the dual space of a reductive group over a local field, Glasnik Mat. (38) 18 (1983), 259-279. MR 733166
  • 6. M. Tadić, On the classification of irreducible unitary representations of GL (n) and the conjectures of Bernstein and Zelevinsky, Ann. Sci. École Norm. Sup. (to appear).
  • 7. M. Tadić, Proof of a conjecture of Bernstein, Math. Ann. (to appear). MR 794086
  • 8. A. V. Zelevinsky, Induced representations of reductive p-adic groups. II, Ann. Sci. École. Norm. Sup. 13 (1980), 165-210. MR 584084

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DOI: https://doi.org/10.1090/S0273-0979-1985-15355-8

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