Unitary dual of $p$-adic $GL\left ( n \right )$. Proof of Bernstein conjectures
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- by Marko Tadić PDF
- Bull. Amer. Math. Soc. 13 (1985), 39-42
References
- Joseph N. Bernstein, $P$-invariant distributions on $\textrm {GL}(N)$ and the classification of unitary representations of $\textrm {GL}(N)$ (non-Archimedean case), Lie group representations, II (College Park, Md., 1982/1983) Lecture Notes in Math., vol. 1041, Springer, Berlin, 1984, pp. 50–102. MR 748505, DOI 10.1007/BFb0073145
- Hervé Jacquet, On the residual spectrum of $\textrm {GL}(n)$, Lie group representations, II (College Park, Md., 1982/1983) Lecture Notes in Math., vol. 1041, Springer, Berlin, 1984, pp. 185–208. MR 748508, DOI 10.1007/BFb0073148
- François Rodier, Représentations de $\textrm {GL}(n,\,k)$ où $k$ est un corps $p$-adique, Bourbaki Seminar, Vol. 1981/1982, Astérisque, vol. 92, Soc. Math. France, Paris, 1982, pp. 201–218 (French). MR 689531
- Jonathan D. Rogawski, Representations of $\textrm {GL}(n)$ and division algebras over a $p$-adic field, Duke Math. J. 50 (1983), no. 1, 161–196. MR 700135
- M. Tadić, The topology of the dual space of a reductive group over a local field, Glas. Mat. Ser. III 18(38) (1983), no. 2, 259–279 (English, with Serbo-Croatian summary). 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).
- Marko Tadić, Proof of a conjecture of Bernstein, Math. Ann. 272 (1985), no. 1, 11–16. MR 794086, DOI 10.1007/BF01455923
- A. V. Zelevinsky, Induced representations of reductive ${\mathfrak {p}}$-adic groups. II. On irreducible representations of $\textrm {GL}(n)$, Ann. Sci. École Norm. Sup. (4) 13 (1980), no. 2, 165–210. MR 584084, DOI 10.24033/asens.1379
Additional Information
- 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