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Subjects
11-XX Number theory
11Sxx Algebraic number theory: local and $p$ -adic fields
11S37 Langlands-Weil conjectures, nonabelian class field theory

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Displaying 1 – 11 of 11

La conjecture de Langlands locale numérique pour $GL (n)$

Guy Henniart (1988)

Annales scientifiques de l'École Normale Supérieure

La conjecture de Langlands locale pour $G L (3)$

Guy Henniart (1983)

Mémoires de la Société Mathématique de France

La conjecture de Langlands locale pour GL(n,F) modulo ℓ quand ℓ≠p,ℓ>n

Marie-France Vignéras (2001)

Annales scientifiques de l'École Normale Supérieure

La conjecture de langlands locale pour GL(p)

Guy HENNIART (1982/1983)

Seminaire de Théorie des Nombres de Bordeaux

La conjecture locale de Langlands pour $G L (2)$ et la démonstration de Ph. Kutzko

Pierre Cartier (1979/1980)

Séminaire Bourbaki

Local coefficients and normalization of intertwining operators for $G L (n)$

Freydoon Shahidi (1983)

Compositio Mathematica

Local constant of Ind...1.

Takeshi Saito (1995)

Commentarii mathematici Helvetici

Local p-dimensional Galois characters.

Jürgen RITTER (1984/1985)

Seminaire de Théorie des Nombres de Bordeaux

Local Root Numbers and Hermitian Â? Galois Module Structure of Rings of Integers.

M.J. Taylor, Ph. Cassou-Noguès (1983)

Mathematische Annalen

Local tame lifting for $G L (N)$ . I: Simple characters

Colin J. Bushnell, Guy Henniart (1996)

Publications Mathématiques de l'IHÉS

Locally analytic vectors of unitary principal series of ${GL}_{2} (ℚ_{p})$

Ruochuan Liu, Bingyong Xie, Yuancao Zhang (2012)

Annales scientifiques de l'École Normale Supérieure

The $p$ -adic local Langlands correspondence for ${GL}_{2} (ℚ_{p})$ attaches to any $2$ -dimensional irreducible $p$ -adic representation $V$ of $G_{ℚ_{p}}$ an admissible unitary representation $Π (V)$ of ${GL}_{2} (ℚ_{p})$ . The unitary principal series of ${GL}_{2} (ℚ_{p})$ are those $Π (V)$ corresponding to trianguline representations. In this article, for $p > 2$ , using the machinery of Colmez, we determine the space of locally analytic vectors $Π {(V)}_{an}$ for all non-exceptional unitary principal series $Π (V)$ of ${GL}_{2} (ℚ_{p})$ by proving a conjecture of Emerton.

Currently displaying 1 – 11 of 11

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