Representations of ${\rm PGL}(2)$ of a local field and harmonic cochains on graph

Paul Broussous

Displaying similar documents to “Representations of $PGL (2)$ of a local field and harmonic cochains on graph”

Representation theory and sheaves on the Bruhat-Tits building

Peter Schneider, Ulrich Stuhler (1997)

Publications Mathématiques de l'IHÉS

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An inequality for local unitary Theta correspondence

Z. Gong, L. Grenié (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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Given a representation $π$ of a local unitary group $G$ and another local unitary group $H$ , either the Theta correspondence provides a representation $θ_{H} (π)$ of $H$ or we set $θ_{H} (π) = 0$ . If $G$ is fixed and $H$ varies in a Witt tower, a natural question is: for which $H$ is $θ_{H} (π) \neq 0$ ? For given dimension $m$ there are exactly two isometry classes of unitary spaces that we denote $H_{m}^{\pm}$ . For $ε \in {0, 1}$ let us denote $m_{ε}^{\pm} (π)$ the minimal $m$ of the same parity of $ε$ such that $θ_{H_{m}^{\pm}} (π) \neq 0$ , then we prove that $m_{ε}^{+} (π) + m_{ε}^{-} (π) \geq 2 n + 2$ where $n$ is the dimension of $π$ .

Degenerations for representations of quivers with relations

Christine Riedtmann (1986)

Annales scientifiques de l'École Normale Supérieure

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Observations on harmonic maps and singular varieties

Brendon Lasell, Mohan Ramachandran (1996)

Annales scientifiques de l'École Normale Supérieure

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Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group

Corinne Blondel (1992)

Compositio Mathematica

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Displaying similar documents to “Representations of PGL ( 2 ) of a local field and harmonic cochains on graph”

Representation theory and sheaves on the Bruhat-Tits building

An inequality for local unitary Theta correspondence

Degenerations for representations of quivers with relations

Observations on harmonic maps and singular varieties

Uniqueness of Whittaker model for some supercuspidal representations of the metaplectic group

Displaying similar documents to “Representations of $PGL (2)$ of a local field and harmonic cochains on graph”