Weil’s "Sur certains groupes d’opérateurs unitaires"

E860127

Weil’s "Sur certains groupes d’opérateurs unitaires" is a foundational mathematical paper by André Weil that introduces and studies the Weil representation, a key construction in representation theory and number theory.

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Statements (49)

Predicate Object
instanceOf mathematical paper ⓘ
research article ⓘ
author André Weil ⓘ
Weil, André ⓘ
citedAs Weil, Sur certains groupes d’opérateurs unitaires ⓘ
citedFor applications to theta functions ⓘ
construction of the metaplectic group ⓘ
introduction of the Weil representation ⓘ
context complex local fields ⓘ
local fields ⓘ
p-adic fields ⓘ
real local fields ⓘ
field algebraic number theory ⓘ
automorphic forms ⓘ
harmonic analysis on groups ⓘ
mathematics ⓘ
pure mathematics ⓘ
representation theory ⓘ
hasInfluenceOn Langlands program ⓘ
modern representation theory of reductive groups ⓘ
theory of automorphic representations ⓘ
theta correspondence ⓘ
introducesConcept Weil representation ⓘ
metaplectic representation ⓘ
isFoundationalFor Weil representation theory ⓘ
metaplectic group theory ⓘ
theta correspondence in automorphic forms ⓘ
keyConstruction Weil representation of the metaplectic group ⓘ
linked to: Weil representation

oscillator representation ⓘ
language French ⓘ
mainTopic Heisenberg group ⓘ
Weil representation ⓘ
harmonic analysis ⓘ
metaplectic group ⓘ
number theory ⓘ
representation theory ⓘ
symplectic group ⓘ
theta functions ⓘ
unitary representations ⓘ
mathematicianSubject André Weil ⓘ
relatedTo Fourier transform on local fields ⓘ
Stone–von Neumann theorem ⓘ
quadratic forms ⓘ
symplectic vector spaces ⓘ
theta series ⓘ
studies Heisenberg group representations ⓘ
intertwining operators ⓘ
projective representations of the symplectic group ⓘ
unitary representations of the symplectic group ⓘ

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Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Weil representation → appearsIn → Weil’s "Sur certains groupes d’opérateurs unitaires" ⓘ
Sur certains groupes d’opérateurs unitaires → citedAs → Weil, Sur certains groupes d’opérateurs unitaires ⓘ
linked to: Weil’s "Sur certains groupes d’opérateurs unitaires"